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Finding the Fourth Proportional to 911.01, 1,255.87 and 724.58

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Solution

The fourth proportional to 911.01, 1,255.87 and 724.58 is: 998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.01 : 1,255.87 = 724.58 : x
  2. Step 2: Convert to fraction form
    911.01/1,255.87 = 724.58/x
  3. Step 3: Cross multiply
    911.01x = 1,255.87 × 724.58
  4. Step 4: Simplify right side
    911.01x = 909,978.28
  5. Step 5: Solve for x
    x = 909,978.28/911.01
  6. Step 6: Final answer
    x = 998.87

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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.