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Finding the Fourth Proportional to 689.47, 1,032.87 and 429.57

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Solution

The fourth proportional to 689.47, 1,032.87 and 429.57 is: 643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.47 : 1,032.87 = 429.57 : x
  2. Step 2: Convert to fraction form
    689.47/1,032.87 = 429.57/x
  3. Step 3: Cross multiply
    689.47x = 1,032.87 × 429.57
  4. Step 4: Simplify right side
    689.47x = 443,689.97
  5. Step 5: Solve for x
    x = 443,689.97/689.47
  6. Step 6: Final answer
    x = 643.53

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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.