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Finding the Fourth Proportional to 519.32, 707.06 and 517.70

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Solution

The fourth proportional to 519.32, 707.06 and 517.70 is: 704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 707.06 = 517.70 : x
  2. Step 2: Convert to fraction form
    519.32/707.06 = 517.70/x
  3. Step 3: Cross multiply
    519.32x = 707.06 × 517.70
  4. Step 4: Simplify right side
    519.32x = 366,044.96
  5. Step 5: Solve for x
    x = 366,044.96/519.32
  6. Step 6: Final answer
    x = 704.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.