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Finding the Fourth Proportional to 813.62, 1,122.30 and 616.79

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Solution

The fourth proportional to 813.62, 1,122.30 and 616.79 is: 850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.62 : 1,122.30 = 616.79 : x
  2. Step 2: Convert to fraction form
    813.62/1,122.30 = 616.79/x
  3. Step 3: Cross multiply
    813.62x = 1,122.30 × 616.79
  4. Step 4: Simplify right side
    813.62x = 692,217.81
  5. Step 5: Solve for x
    x = 692,217.81/813.62
  6. Step 6: Final answer
    x = 850.79

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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.