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Finding the Fourth Proportional to 906.76, 1,251.91 and 696.53

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Solution

The fourth proportional to 906.76, 1,251.91 and 696.53 is: 961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.76 : 1,251.91 = 696.53 : x
  2. Step 2: Convert to fraction form
    906.76/1,251.91 = 696.53/x
  3. Step 3: Cross multiply
    906.76x = 1,251.91 × 696.53
  4. Step 4: Simplify right side
    906.76x = 871,996.87
  5. Step 5: Solve for x
    x = 871,996.87/906.76
  6. Step 6: Final answer
    x = 961.66

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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.