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Finding the Fourth Proportional to 1,432.59, 2,148.72 and 458.78

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Solution

The fourth proportional to 1,432.59, 2,148.72 and 458.78 is: 688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.59 : 2,148.72 = 458.78 : x
  2. Step 2: Convert to fraction form
    1,432.59/2,148.72 = 458.78/x
  3. Step 3: Cross multiply
    1,432.59x = 2,148.72 × 458.78
  4. Step 4: Simplify right side
    1,432.59x = 985,779.02
  5. Step 5: Solve for x
    x = 985,779.02/1,432.59
  6. Step 6: Final answer
    x = 688.11

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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.