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Finding the Fourth Proportional to 966.25, 1,333.83 and 686.53

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Solution

The fourth proportional to 966.25, 1,333.83 and 686.53 is: 947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.25 : 1,333.83 = 686.53 : x
  2. Step 2: Convert to fraction form
    966.25/1,333.83 = 686.53/x
  3. Step 3: Cross multiply
    966.25x = 1,333.83 × 686.53
  4. Step 4: Simplify right side
    966.25x = 915,714.31
  5. Step 5: Solve for x
    x = 915,714.31/966.25
  6. Step 6: Final answer
    x = 947.70

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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.