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Finding the Fourth Proportional to 539.26, 742.71 and 456.10

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Solution

The fourth proportional to 539.26, 742.71 and 456.10 is: 628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.26 : 742.71 = 456.10 : x
  2. Step 2: Convert to fraction form
    539.26/742.71 = 456.10/x
  3. Step 3: Cross multiply
    539.26x = 742.71 × 456.10
  4. Step 4: Simplify right side
    539.26x = 338,750.03
  5. Step 5: Solve for x
    x = 338,750.03/539.26
  6. Step 6: Final answer
    x = 628.18

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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.