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Finding the Fourth Proportional to 1,432.95, 2,149.49 and 458.97

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Solution

The fourth proportional to 1,432.95, 2,149.49 and 458.97 is: 688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.95 : 2,149.49 = 458.97 : x
  2. Step 2: Convert to fraction form
    1,432.95/2,149.49 = 458.97/x
  3. Step 3: Cross multiply
    1,432.95x = 2,149.49 × 458.97
  4. Step 4: Simplify right side
    1,432.95x = 986,551.43
  5. Step 5: Solve for x
    x = 986,551.43/1,432.95
  6. Step 6: Final answer
    x = 688.48

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Double scale
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1.5x scale

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.