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Finding the Fourth Proportional to 526.92, 790.17 and 252.82

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Solution

The fourth proportional to 526.92, 790.17 and 252.82 is: 379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.92 : 790.17 = 252.82 : x
  2. Step 2: Convert to fraction form
    526.92/790.17 = 252.82/x
  3. Step 3: Cross multiply
    526.92x = 790.17 × 252.82
  4. Step 4: Simplify right side
    526.92x = 199,770.78
  5. Step 5: Solve for x
    x = 199,770.78/526.92
  6. Step 6: Final answer
    x = 379.13

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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.