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Finding the Fourth Proportional to 757.31, 1,127.21 and 740.30

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Solution

The fourth proportional to 757.31, 1,127.21 and 740.30 is: 1,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.31 : 1,127.21 = 740.30 : x
  2. Step 2: Convert to fraction form
    757.31/1,127.21 = 740.30/x
  3. Step 3: Cross multiply
    757.31x = 1,127.21 × 740.30
  4. Step 4: Simplify right side
    757.31x = 834,464.23
  5. Step 5: Solve for x
    x = 834,464.23/757.31
  6. Step 6: Final answer
    x = 1,101.89

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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.