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Finding the Fourth Proportional to 539.42, 742.91 and 465.71

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Solution

The fourth proportional to 539.42, 742.91 and 465.71 is: 641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.42 : 742.91 = 465.71 : x
  2. Step 2: Convert to fraction form
    539.42/742.91 = 465.71/x
  3. Step 3: Cross multiply
    539.42x = 742.91 × 465.71
  4. Step 4: Simplify right side
    539.42x = 345,974.57
  5. Step 5: Solve for x
    x = 345,974.57/539.42
  6. Step 6: Final answer
    x = 641.39

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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.