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Finding the Fourth Proportional to 1,125.73, 1,686.20 and 638.53

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Solution

The fourth proportional to 1,125.73, 1,686.20 and 638.53 is: 956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.73 : 1,686.20 = 638.53 : x
  2. Step 2: Convert to fraction form
    1,125.73/1,686.20 = 638.53/x
  3. Step 3: Cross multiply
    1,125.73x = 1,686.20 × 638.53
  4. Step 4: Simplify right side
    1,125.73x = 1,076,686.09
  5. Step 5: Solve for x
    x = 1,076,686.09/1,125.73
  6. Step 6: Final answer
    x = 956.43

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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.