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Finding the Fourth Proportional to 766.62, 1,147.59 and 547.52

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Solution

The fourth proportional to 766.62, 1,147.59 and 547.52 is: 819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.62 : 1,147.59 = 547.52 : x
  2. Step 2: Convert to fraction form
    766.62/1,147.59 = 547.52/x
  3. Step 3: Cross multiply
    766.62x = 1,147.59 × 547.52
  4. Step 4: Simplify right side
    766.62x = 628,322.74
  5. Step 5: Solve for x
    x = 628,322.74/766.62
  6. Step 6: Final answer
    x = 819.60

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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.