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Finding the Fourth Proportional to 766.11, 1,146.84 and 547.01

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Solution

The fourth proportional to 766.11, 1,146.84 and 547.01 is: 818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.11 : 1,146.84 = 547.01 : x
  2. Step 2: Convert to fraction form
    766.11/1,146.84 = 547.01/x
  3. Step 3: Cross multiply
    766.11x = 1,146.84 × 547.01
  4. Step 4: Simplify right side
    766.11x = 627,332.95
  5. Step 5: Solve for x
    x = 627,332.95/766.11
  6. Step 6: Final answer
    x = 818.85

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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.