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Finding the Fourth Proportional to 629.74, 869.87 and 525.17

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Solution

The fourth proportional to 629.74, 869.87 and 525.17 is: 725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.74 : 869.87 = 525.17 : x
  2. Step 2: Convert to fraction form
    629.74/869.87 = 525.17/x
  3. Step 3: Cross multiply
    629.74x = 869.87 × 525.17
  4. Step 4: Simplify right side
    629.74x = 456,829.63
  5. Step 5: Solve for x
    x = 456,829.63/629.74
  6. Step 6: Final answer
    x = 725.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.