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Finding the Fourth Proportional to 687.89, 1,037.24 and 630.49

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Solution

The fourth proportional to 687.89, 1,037.24 and 630.49 is: 950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.89 : 1,037.24 = 630.49 : x
  2. Step 2: Convert to fraction form
    687.89/1,037.24 = 630.49/x
  3. Step 3: Cross multiply
    687.89x = 1,037.24 × 630.49
  4. Step 4: Simplify right side
    687.89x = 653,963.70
  5. Step 5: Solve for x
    x = 653,963.70/687.89
  6. Step 6: Final answer
    x = 950.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.