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Finding the Fourth Proportional to 1,126.67, 1,689.21 and 432.76

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Solution

The fourth proportional to 1,126.67, 1,689.21 and 432.76 is: 648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.67 : 1,689.21 = 432.76 : x
  2. Step 2: Convert to fraction form
    1,126.67/1,689.21 = 432.76/x
  3. Step 3: Cross multiply
    1,126.67x = 1,689.21 × 432.76
  4. Step 4: Simplify right side
    1,126.67x = 731,014.07
  5. Step 5: Solve for x
    x = 731,014.07/1,126.67
  6. Step 6: Final answer
    x = 648.83

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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.