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Finding the Fourth Proportional to 906.86, 1,251.54 and 557.66

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Solution

The fourth proportional to 906.86, 1,251.54 and 557.66 is: 769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.86 : 1,251.54 = 557.66 : x
  2. Step 2: Convert to fraction form
    906.86/1,251.54 = 557.66/x
  3. Step 3: Cross multiply
    906.86x = 1,251.54 × 557.66
  4. Step 4: Simplify right side
    906.86x = 697,933.80
  5. Step 5: Solve for x
    x = 697,933.80/906.86
  6. Step 6: Final answer
    x = 769.62

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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.