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Finding the Fourth Proportional to 754.40, 1,125.40 and 689.12

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Solution

The fourth proportional to 754.40, 1,125.40 and 689.12 is: 1,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.40 : 1,125.40 = 689.12 : x
  2. Step 2: Convert to fraction form
    754.40/1,125.40 = 689.12/x
  3. Step 3: Cross multiply
    754.40x = 1,125.40 × 689.12
  4. Step 4: Simplify right side
    754.40x = 775,535.65
  5. Step 5: Solve for x
    x = 775,535.65/754.40
  6. Step 6: Final answer
    x = 1,028.02

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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.