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Finding the Fourth Proportional to 966.55, 1,333.80 and 546.91

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Solution

The fourth proportional to 966.55, 1,333.80 and 546.91 is: 754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.55 : 1,333.80 = 546.91 : x
  2. Step 2: Convert to fraction form
    966.55/1,333.80 = 546.91/x
  3. Step 3: Cross multiply
    966.55x = 1,333.80 × 546.91
  4. Step 4: Simplify right side
    966.55x = 729,468.56
  5. Step 5: Solve for x
    x = 729,468.56/966.55
  6. Step 6: Final answer
    x = 754.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.