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Finding the Fourth Proportional to 807.22, 1,111.50 and 725.20

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Solution

The fourth proportional to 807.22, 1,111.50 and 725.20 is: 998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.22 : 1,111.50 = 725.20 : x
  2. Step 2: Convert to fraction form
    807.22/1,111.50 = 725.20/x
  3. Step 3: Cross multiply
    807.22x = 1,111.50 × 725.20
  4. Step 4: Simplify right side
    807.22x = 806,061.23
  5. Step 5: Solve for x
    x = 806,061.23/807.22
  6. Step 6: Final answer
    x = 998.57

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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.