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Finding the Fourth Proportional to 629.96, 945.80 and 527.92

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Solution

The fourth proportional to 629.96, 945.80 and 527.92 is: 792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.96 : 945.80 = 527.92 : x
  2. Step 2: Convert to fraction form
    629.96/945.80 = 527.92/x
  3. Step 3: Cross multiply
    629.96x = 945.80 × 527.92
  4. Step 4: Simplify right side
    629.96x = 499,306.74
  5. Step 5: Solve for x
    x = 499,306.74/629.96
  6. Step 6: Final answer
    x = 792.60

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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.