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Finding the Fourth Proportional to 629.52, 941.76 and 560.24

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Solution

The fourth proportional to 629.52, 941.76 and 560.24 is: 838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.52 : 941.76 = 560.24 : x
  2. Step 2: Convert to fraction form
    629.52/941.76 = 560.24/x
  3. Step 3: Cross multiply
    629.52x = 941.76 × 560.24
  4. Step 4: Simplify right side
    629.52x = 527,611.62
  5. Step 5: Solve for x
    x = 527,611.62/629.52
  6. Step 6: Final answer
    x = 838.12

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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.