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Finding the Fourth Proportional to 908.52, 1,253.42 and 820.13

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Solution

The fourth proportional to 908.52, 1,253.42 and 820.13 is: 1,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.52 : 1,253.42 = 820.13 : x
  2. Step 2: Convert to fraction form
    908.52/1,253.42 = 820.13/x
  3. Step 3: Cross multiply
    908.52x = 1,253.42 × 820.13
  4. Step 4: Simplify right side
    908.52x = 1,027,964.67
  5. Step 5: Solve for x
    x = 1,027,964.67/908.52
  6. Step 6: Final answer
    x = 1,131.48

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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.