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Finding the Fourth Proportional to 754.59, 1,040.76 and 649.85

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Solution

The fourth proportional to 754.59, 1,040.76 and 649.85 is: 896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.59 : 1,040.76 = 649.85 : x
  2. Step 2: Convert to fraction form
    754.59/1,040.76 = 649.85/x
  3. Step 3: Cross multiply
    754.59x = 1,040.76 × 649.85
  4. Step 4: Simplify right side
    754.59x = 676,337.89
  5. Step 5: Solve for x
    x = 676,337.89/754.59
  6. Step 6: Final answer
    x = 896.30

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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.