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Finding the Fourth Proportional to 813.18, 1,121.76 and 616.34

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Solution

The fourth proportional to 813.18, 1,121.76 and 616.34 is: 850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.18 : 1,121.76 = 616.34 : x
  2. Step 2: Convert to fraction form
    813.18/1,121.76 = 616.34/x
  3. Step 3: Cross multiply
    813.18x = 1,121.76 × 616.34
  4. Step 4: Simplify right side
    813.18x = 691,385.56
  5. Step 5: Solve for x
    x = 691,385.56/813.18
  6. Step 6: Final answer
    x = 850.22

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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.