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Finding the Fourth Proportional to 613.66, 913.91 and 610.15

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Solution

The fourth proportional to 613.66, 913.91 and 610.15 is: 908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.66 : 913.91 = 610.15 : x
  2. Step 2: Convert to fraction form
    613.66/913.91 = 610.15/x
  3. Step 3: Cross multiply
    613.66x = 913.91 × 610.15
  4. Step 4: Simplify right side
    613.66x = 557,622.19
  5. Step 5: Solve for x
    x = 557,622.19/613.66
  6. Step 6: Final answer
    x = 908.68

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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.