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Finding the Fourth Proportional to 537.24, 807.84 and 517.80

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Solution

The fourth proportional to 537.24, 807.84 and 517.80 is: 778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.24 : 807.84 = 517.80 : x
  2. Step 2: Convert to fraction form
    537.24/807.84 = 517.80/x
  3. Step 3: Cross multiply
    537.24x = 807.84 × 517.80
  4. Step 4: Simplify right side
    537.24x = 418,299.55
  5. Step 5: Solve for x
    x = 418,299.55/537.24
  6. Step 6: Final answer
    x = 778.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.