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Finding the Fourth Proportional to 552.60, 824.31 and 497.88

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Solution

The fourth proportional to 552.60, 824.31 and 497.88 is: 742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.60 : 824.31 = 497.88 : x
  2. Step 2: Convert to fraction form
    552.60/824.31 = 497.88/x
  3. Step 3: Cross multiply
    552.60x = 824.31 × 497.88
  4. Step 4: Simplify right side
    552.60x = 410,407.46
  5. Step 5: Solve for x
    x = 410,407.46/552.60
  6. Step 6: Final answer
    x = 742.68

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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.