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Finding the Fourth Proportional to 906.11, 1,251.04 and 686.26

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Solution

The fourth proportional to 906.11, 1,251.04 and 686.26 is: 947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.11 : 1,251.04 = 686.26 : x
  2. Step 2: Convert to fraction form
    906.11/1,251.04 = 686.26/x
  3. Step 3: Cross multiply
    906.11x = 1,251.04 × 686.26
  4. Step 4: Simplify right side
    906.11x = 858,532.46
  5. Step 5: Solve for x
    x = 858,532.46/906.11
  6. Step 6: Final answer
    x = 947.50

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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.