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Finding the Fourth Proportional to 911.14, 1,255.90 and 616.30

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Solution

The fourth proportional to 911.14, 1,255.90 and 616.30 is: 849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.14 : 1,255.90 = 616.30 : x
  2. Step 2: Convert to fraction form
    911.14/1,255.90 = 616.30/x
  3. Step 3: Cross multiply
    911.14x = 1,255.90 × 616.30
  4. Step 4: Simplify right side
    911.14x = 774,011.17
  5. Step 5: Solve for x
    x = 774,011.17/911.14
  6. Step 6: Final answer
    x = 849.50

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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.