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Finding the Fourth Proportional to 820.34, 1,131.17 and 742.58

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Solution

The fourth proportional to 820.34, 1,131.17 and 742.58 is: 1,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.34 : 1,131.17 = 742.58 : x
  2. Step 2: Convert to fraction form
    820.34/1,131.17 = 742.58/x
  3. Step 3: Cross multiply
    820.34x = 1,131.17 × 742.58
  4. Step 4: Simplify right side
    820.34x = 839,974.85
  5. Step 5: Solve for x
    x = 839,974.85/820.34
  6. Step 6: Final answer
    x = 1,023.94

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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.