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Finding the Fourth Proportional to 613.85, 913.82 and 610.20

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Solution

The fourth proportional to 613.85, 913.82 and 610.20 is: 908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.85 : 913.82 = 610.20 : x
  2. Step 2: Convert to fraction form
    613.85/913.82 = 610.20/x
  3. Step 3: Cross multiply
    613.85x = 913.82 × 610.20
  4. Step 4: Simplify right side
    613.85x = 557,609.91
  5. Step 5: Solve for x
    x = 557,609.91/613.85
  6. Step 6: Final answer
    x = 908.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.