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Finding the Fourth Proportional to 1,125.72, 1,687.50 and 431.87

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Solution

The fourth proportional to 1,125.72, 1,687.50 and 431.87 is: 647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.72 : 1,687.50 = 431.87 : x
  2. Step 2: Convert to fraction form
    1,125.72/1,687.50 = 431.87/x
  3. Step 3: Cross multiply
    1,125.72x = 1,687.50 × 431.87
  4. Step 4: Simplify right side
    1,125.72x = 728,772.19
  5. Step 5: Solve for x
    x = 728,772.19/1,125.72
  6. Step 6: Final answer
    x = 647.38

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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.