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Finding the Fourth Proportional to 951.80, 1,313.55 and 686.14

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Solution

The fourth proportional to 951.80, 1,313.55 and 686.14 is: 946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.80 : 1,313.55 = 686.14 : x
  2. Step 2: Convert to fraction form
    951.80/1,313.55 = 686.14/x
  3. Step 3: Cross multiply
    951.80x = 1,313.55 × 686.14
  4. Step 4: Simplify right side
    951.80x = 901,279.20
  5. Step 5: Solve for x
    x = 901,279.20/951.80
  6. Step 6: Final answer
    x = 946.92

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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.