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Finding the Fourth Proportional to 820.13, 1,131.17 and 610.74

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Solution

The fourth proportional to 820.13, 1,131.17 and 610.74 is: 842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.13 : 1,131.17 = 610.74 : x
  2. Step 2: Convert to fraction form
    820.13/1,131.17 = 610.74/x
  3. Step 3: Cross multiply
    820.13x = 1,131.17 × 610.74
  4. Step 4: Simplify right side
    820.13x = 690,847.71
  5. Step 5: Solve for x
    x = 690,847.71/820.13
  6. Step 6: Final answer
    x = 842.37

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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.