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Finding the Fourth Proportional to 1,125, 1,688.25 and 432.24

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Solution

The fourth proportional to 1,125, 1,688.25 and 432.24 is: 648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125 : 1,688.25 = 432.24 : x
  2. Step 2: Convert to fraction form
    1,125/1,688.25 = 432.24/x
  3. Step 3: Cross multiply
    1,125x = 1,688.25 × 432.24
  4. Step 4: Simplify right side
    1,125x = 729,729.18
  5. Step 5: Solve for x
    x = 729,729.18/1,125
  6. Step 6: Final answer
    x = 648.65

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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.