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Finding the Fourth Proportional to 663.57, 916.29 and 629.17

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Solution

The fourth proportional to 663.57, 916.29 and 629.17 is: 868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.57 : 916.29 = 629.17 : x
  2. Step 2: Convert to fraction form
    663.57/916.29 = 629.17/x
  3. Step 3: Cross multiply
    663.57x = 916.29 × 629.17
  4. Step 4: Simplify right side
    663.57x = 576,502.18
  5. Step 5: Solve for x
    x = 576,502.18/663.57
  6. Step 6: Final answer
    x = 868.79

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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.