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Finding the Fourth Proportional to 1,432.76, 2,149.54 and 739.68

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Solution

The fourth proportional to 1,432.76, 2,149.54 and 739.68 is: 1,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.76 : 2,149.54 = 739.68 : x
  2. Step 2: Convert to fraction form
    1,432.76/2,149.54 = 739.68/x
  3. Step 3: Cross multiply
    1,432.76x = 2,149.54 × 739.68
  4. Step 4: Simplify right side
    1,432.76x = 1,589,971.75
  5. Step 5: Solve for x
    x = 1,589,971.75/1,432.76
  6. Step 6: Final answer
    x = 1,109.73

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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.