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Finding the Fourth Proportional to 1,193.73, 1,646.37 and 721.59

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Solution

The fourth proportional to 1,193.73, 1,646.37 and 721.59 is: 995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.73 : 1,646.37 = 721.59 : x
  2. Step 2: Convert to fraction form
    1,193.73/1,646.37 = 721.59/x
  3. Step 3: Cross multiply
    1,193.73x = 1,646.37 × 721.59
  4. Step 4: Simplify right side
    1,193.73x = 1,188,004.13
  5. Step 5: Solve for x
    x = 1,188,004.13/1,193.73
  6. Step 6: Final answer
    x = 995.20

Related Problems

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Half scale
Find fourth proportional to 2,387.46, 3,292.74 and 1,443.18
Double scale
Find fourth proportional to 1,194.73, 1,647.75 and 722.59
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.