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Finding the Fourth Proportional to 517.49, 714.10 and 296.52

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Solution

The fourth proportional to 517.49, 714.10 and 296.52 is: 409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.49 : 714.10 = 296.52 : x
  2. Step 2: Convert to fraction form
    517.49/714.10 = 296.52/x
  3. Step 3: Cross multiply
    517.49x = 714.10 × 296.52
  4. Step 4: Simplify right side
    517.49x = 211,744.93
  5. Step 5: Solve for x
    x = 211,744.93/517.49
  6. Step 6: Final answer
    x = 409.18

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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.