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Finding the Fourth Proportional to 891.10, 1,225.80 and 724.94

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Solution

The fourth proportional to 891.10, 1,225.80 and 724.94 is: 997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.10 : 1,225.80 = 724.94 : x
  2. Step 2: Convert to fraction form
    891.10/1,225.80 = 724.94/x
  3. Step 3: Cross multiply
    891.10x = 1,225.80 × 724.94
  4. Step 4: Simplify right side
    891.10x = 888,631.45
  5. Step 5: Solve for x
    x = 888,631.45/891.10
  6. Step 6: Final answer
    x = 997.23

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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.