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Finding the Fourth Proportional to 1,125.76, 1,689.09 and 432.58

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Solution

The fourth proportional to 1,125.76, 1,689.09 and 432.58 is: 649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.76 : 1,689.09 = 432.58 : x
  2. Step 2: Convert to fraction form
    1,125.76/1,689.09 = 432.58/x
  3. Step 3: Cross multiply
    1,125.76x = 1,689.09 × 432.58
  4. Step 4: Simplify right side
    1,125.76x = 730,666.55
  5. Step 5: Solve for x
    x = 730,666.55/1,125.76
  6. Step 6: Final answer
    x = 649.04

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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.