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Finding the Fourth Proportional to 966.28, 1,333.20 and 687.28

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Solution

The fourth proportional to 966.28, 1,333.20 and 687.28 is: 948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.28 : 1,333.20 = 687.28 : x
  2. Step 2: Convert to fraction form
    966.28/1,333.20 = 687.28/x
  3. Step 3: Cross multiply
    966.28x = 1,333.20 × 687.28
  4. Step 4: Simplify right side
    966.28x = 916,281.70
  5. Step 5: Solve for x
    x = 916,281.70/966.28
  6. Step 6: Final answer
    x = 948.26

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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.