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Finding the Fourth Proportional to 807.20, 1,111.20 and 724.28

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Solution

The fourth proportional to 807.20, 1,111.20 and 724.28 is: 997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.20 : 1,111.20 = 724.28 : x
  2. Step 2: Convert to fraction form
    807.20/1,111.20 = 724.28/x
  3. Step 3: Cross multiply
    807.20x = 1,111.20 × 724.28
  4. Step 4: Simplify right side
    807.20x = 804,819.94
  5. Step 5: Solve for x
    x = 804,819.94/807.20
  6. Step 6: Final answer
    x = 997.05

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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.