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Finding the Fourth Proportional to 517.59, 714.72 and 378.47

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Solution

The fourth proportional to 517.59, 714.72 and 378.47 is: 522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.59 : 714.72 = 378.47 : x
  2. Step 2: Convert to fraction form
    517.59/714.72 = 378.47/x
  3. Step 3: Cross multiply
    517.59x = 714.72 × 378.47
  4. Step 4: Simplify right side
    517.59x = 270,503.28
  5. Step 5: Solve for x
    x = 270,503.28/517.59
  6. Step 6: Final answer
    x = 522.62

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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.