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Finding the Fourth Proportional to 742.04, 1,112.40 and 677.84

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Solution

The fourth proportional to 742.04, 1,112.40 and 677.84 is: 1,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.04 : 1,112.40 = 677.84 : x
  2. Step 2: Convert to fraction form
    742.04/1,112.40 = 677.84/x
  3. Step 3: Cross multiply
    742.04x = 1,112.40 × 677.84
  4. Step 4: Simplify right side
    742.04x = 754,023.65
  5. Step 5: Solve for x
    x = 754,023.65/742.04
  6. Step 6: Final answer
    x = 1,016.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.