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Finding the Fourth Proportional to 531.62, 792.94 and 515.42

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Solution

The fourth proportional to 531.62, 792.94 and 515.42 is: 768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.62 : 792.94 = 515.42 : x
  2. Step 2: Convert to fraction form
    531.62/792.94 = 515.42/x
  3. Step 3: Cross multiply
    531.62x = 792.94 × 515.42
  4. Step 4: Simplify right side
    531.62x = 408,697.13
  5. Step 5: Solve for x
    x = 408,697.13/531.62
  6. Step 6: Final answer
    x = 768.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.