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Finding the Fourth Proportional to 732.72, 1,011.16 and 471.19

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Solution

The fourth proportional to 732.72, 1,011.16 and 471.19 is: 650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.72 : 1,011.16 = 471.19 : x
  2. Step 2: Convert to fraction form
    732.72/1,011.16 = 471.19/x
  3. Step 3: Cross multiply
    732.72x = 1,011.16 × 471.19
  4. Step 4: Simplify right side
    732.72x = 476,448.48
  5. Step 5: Solve for x
    x = 476,448.48/732.72
  6. Step 6: Final answer
    x = 650.25

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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.