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Finding the Fourth Proportional to 519.38, 714.65 and 501.42

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Solution

The fourth proportional to 519.38, 714.65 and 501.42 is: 689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.38 : 714.65 = 501.42 : x
  2. Step 2: Convert to fraction form
    519.38/714.65 = 501.42/x
  3. Step 3: Cross multiply
    519.38x = 714.65 × 501.42
  4. Step 4: Simplify right side
    519.38x = 358,337.30
  5. Step 5: Solve for x
    x = 358,337.30/519.38
  6. Step 6: Final answer
    x = 689.94

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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.