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Finding the Fourth Proportional to 766.86, 1,149.57 and 424.14

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Solution

The fourth proportional to 766.86, 1,149.57 and 424.14 is: 635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.86 : 1,149.57 = 424.14 : x
  2. Step 2: Convert to fraction form
    766.86/1,149.57 = 424.14/x
  3. Step 3: Cross multiply
    766.86x = 1,149.57 × 424.14
  4. Step 4: Simplify right side
    766.86x = 487,578.62
  5. Step 5: Solve for x
    x = 487,578.62/766.86
  6. Step 6: Final answer
    x = 635.81

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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.