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Finding the Fourth Proportional to 1,432.61, 2,147.54 and 609.75

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Solution

The fourth proportional to 1,432.61, 2,147.54 and 609.75 is: 914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.61 : 2,147.54 = 609.75 : x
  2. Step 2: Convert to fraction form
    1,432.61/2,147.54 = 609.75/x
  3. Step 3: Cross multiply
    1,432.61x = 2,147.54 × 609.75
  4. Step 4: Simplify right side
    1,432.61x = 1,309,451.78
  5. Step 5: Solve for x
    x = 1,309,451.78/1,432.61
  6. Step 6: Final answer
    x = 914.04

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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.