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Finding the Fourth Proportional to 966.52, 1,333.02 and 687.68

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Solution

The fourth proportional to 966.52, 1,333.02 and 687.68 is: 948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.52 : 1,333.02 = 687.68 : x
  2. Step 2: Convert to fraction form
    966.52/1,333.02 = 687.68/x
  3. Step 3: Cross multiply
    966.52x = 1,333.02 × 687.68
  4. Step 4: Simplify right side
    966.52x = 916,691.19
  5. Step 5: Solve for x
    x = 916,691.19/966.52
  6. Step 6: Final answer
    x = 948.45

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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.