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Finding the Fourth Proportional to 574.25, 793.19 and 565.61

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Solution

The fourth proportional to 574.25, 793.19 and 565.61 is: 781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.25 : 793.19 = 565.61 : x
  2. Step 2: Convert to fraction form
    574.25/793.19 = 565.61/x
  3. Step 3: Cross multiply
    574.25x = 793.19 × 565.61
  4. Step 4: Simplify right side
    574.25x = 448,635.35
  5. Step 5: Solve for x
    x = 448,635.35/574.25
  6. Step 6: Final answer
    x = 781.25

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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.