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Finding the Fourth Proportional to 613.68, 913.90 and 610.16

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Solution

The fourth proportional to 613.68, 913.90 and 610.16 is: 908.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.68 : 913.90 = 610.16 : x
  2. Step 2: Convert to fraction form
    613.68/913.90 = 610.16/x
  3. Step 3: Cross multiply
    613.68x = 913.90 × 610.16
  4. Step 4: Simplify right side
    613.68x = 557,625.22
  5. Step 5: Solve for x
    x = 557,625.22/613.68
  6. Step 6: Final answer
    x = 908.66

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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.