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Finding the Fourth Proportional to 613.26, 925.23 and 582.90

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Solution

The fourth proportional to 613.26, 925.23 and 582.90 is: 879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.26 : 925.23 = 582.90 : x
  2. Step 2: Convert to fraction form
    613.26/925.23 = 582.90/x
  3. Step 3: Cross multiply
    613.26x = 925.23 × 582.90
  4. Step 4: Simplify right side
    613.26x = 539,316.57
  5. Step 5: Solve for x
    x = 539,316.57/613.26
  6. Step 6: Final answer
    x = 879.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.