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Finding the Fourth Proportional to 1,125.38, 1,688.34 and 432.05

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Solution

The fourth proportional to 1,125.38, 1,688.34 and 432.05 is: 648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.38 : 1,688.34 = 432.05 : x
  2. Step 2: Convert to fraction form
    1,125.38/1,688.34 = 432.05/x
  3. Step 3: Cross multiply
    1,125.38x = 1,688.34 × 432.05
  4. Step 4: Simplify right side
    1,125.38x = 729,450.44
  5. Step 5: Solve for x
    x = 729,450.44/1,125.38
  6. Step 6: Final answer
    x = 648.18

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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.