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Finding the Fourth Proportional to 1,193.13, 1,646.83 and 721.31

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Solution

The fourth proportional to 1,193.13, 1,646.83 and 721.31 is: 995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.13 : 1,646.83 = 721.31 : x
  2. Step 2: Convert to fraction form
    1,193.13/1,646.83 = 721.31/x
  3. Step 3: Cross multiply
    1,193.13x = 1,646.83 × 721.31
  4. Step 4: Simplify right side
    1,193.13x = 1,187,867.61
  5. Step 5: Solve for x
    x = 1,187,867.61/1,193.13
  6. Step 6: Final answer
    x = 995.59

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Double scale
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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.