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Finding the Fourth Proportional to 1,193.08, 1,646.42 and 669.10

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Solution

The fourth proportional to 1,193.08, 1,646.42 and 669.10 is: 923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.08 : 1,646.42 = 669.10 : x
  2. Step 2: Convert to fraction form
    1,193.08/1,646.42 = 669.10/x
  3. Step 3: Cross multiply
    1,193.08x = 1,646.42 × 669.10
  4. Step 4: Simplify right side
    1,193.08x = 1,101,619.62
  5. Step 5: Solve for x
    x = 1,101,619.62/1,193.08
  6. Step 6: Final answer
    x = 923.34

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,194.08, 1,647.80 and 670.10
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.