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Finding the Fourth Proportional to 754.40, 1,041.56 and 614.85

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Solution

The fourth proportional to 754.40, 1,041.56 and 614.85 is: 848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.40 : 1,041.56 = 614.85 : x
  2. Step 2: Convert to fraction form
    754.40/1,041.56 = 614.85/x
  3. Step 3: Cross multiply
    754.40x = 1,041.56 × 614.85
  4. Step 4: Simplify right side
    754.40x = 640,402.40
  5. Step 5: Solve for x
    x = 640,402.40/754.40
  6. Step 6: Final answer
    x = 848.89

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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.