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Finding the Fourth Proportional to 766.47, 1,149.68 and 333.63

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Solution

The fourth proportional to 766.47, 1,149.68 and 333.63 is: 500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.47 : 1,149.68 = 333.63 : x
  2. Step 2: Convert to fraction form
    766.47/1,149.68 = 333.63/x
  3. Step 3: Cross multiply
    766.47x = 1,149.68 × 333.63
  4. Step 4: Simplify right side
    766.47x = 383,567.74
  5. Step 5: Solve for x
    x = 383,567.74/766.47
  6. Step 6: Final answer
    x = 500.43

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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.