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Finding the Fourth Proportional to 906.28, 1,249.50 and 781.70

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Solution

The fourth proportional to 906.28, 1,249.50 and 781.70 is: 1,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.28 : 1,249.50 = 781.70 : x
  2. Step 2: Convert to fraction form
    906.28/1,249.50 = 781.70/x
  3. Step 3: Cross multiply
    906.28x = 1,249.50 × 781.70
  4. Step 4: Simplify right side
    906.28x = 976,727.90
  5. Step 5: Solve for x
    x = 976,727.90/906.28
  6. Step 6: Final answer
    x = 1,077.74

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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.