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Finding the Fourth Proportional to 906.28, 1,251.66 and 894.14

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Solution

The fourth proportional to 906.28, 1,251.66 and 894.14 is: 1,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.28 : 1,251.66 = 894.14 : x
  2. Step 2: Convert to fraction form
    906.28/1,251.66 = 894.14/x
  3. Step 3: Cross multiply
    906.28x = 1,251.66 × 894.14
  4. Step 4: Simplify right side
    906.28x = 1,119,159.27
  5. Step 5: Solve for x
    x = 1,119,159.27/906.28
  6. Step 6: Final answer
    x = 1,234.89

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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.