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Finding the Fourth Proportional to 1,432.93, 2,149.68 and 610.78

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Solution

The fourth proportional to 1,432.93, 2,149.68 and 610.78 is: 916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.93 : 2,149.68 = 610.78 : x
  2. Step 2: Convert to fraction form
    1,432.93/2,149.68 = 610.78/x
  3. Step 3: Cross multiply
    1,432.93x = 2,149.68 × 610.78
  4. Step 4: Simplify right side
    1,432.93x = 1,312,981.55
  5. Step 5: Solve for x
    x = 1,312,981.55/1,432.93
  6. Step 6: Final answer
    x = 916.29

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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.