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Finding the Fourth Proportional to 552.20, 826.70 and 494.60

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Solution

The fourth proportional to 552.20, 826.70 and 494.60 is: 740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.20 : 826.70 = 494.60 : x
  2. Step 2: Convert to fraction form
    552.20/826.70 = 494.60/x
  3. Step 3: Cross multiply
    552.20x = 826.70 × 494.60
  4. Step 4: Simplify right side
    552.20x = 408,885.82
  5. Step 5: Solve for x
    x = 408,885.82/552.20
  6. Step 6: Final answer
    x = 740.47

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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.