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Finding the Fourth Proportional to 906.82, 1,251.50 and 557.50

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Solution

The fourth proportional to 906.82, 1,251.50 and 557.50 is: 769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.82 : 1,251.50 = 557.50 : x
  2. Step 2: Convert to fraction form
    906.82/1,251.50 = 557.50/x
  3. Step 3: Cross multiply
    906.82x = 1,251.50 × 557.50
  4. Step 4: Simplify right side
    906.82x = 697,711.25
  5. Step 5: Solve for x
    x = 697,711.25/906.82
  6. Step 6: Final answer
    x = 769.40

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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.