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Finding the Fourth Proportional to 755.82, 1,125.47 and 728.15

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Solution

The fourth proportional to 755.82, 1,125.47 and 728.15 is: 1,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.82 : 1,125.47 = 728.15 : x
  2. Step 2: Convert to fraction form
    755.82/1,125.47 = 728.15/x
  3. Step 3: Cross multiply
    755.82x = 1,125.47 × 728.15
  4. Step 4: Simplify right side
    755.82x = 819,507.17
  5. Step 5: Solve for x
    x = 819,507.17/755.82
  6. Step 6: Final answer
    x = 1,084.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.