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Finding the Fourth Proportional to 574.28, 792.74 and 426.65

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Solution

The fourth proportional to 574.28, 792.74 and 426.65 is: 588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.28 : 792.74 = 426.65 : x
  2. Step 2: Convert to fraction form
    574.28/792.74 = 426.65/x
  3. Step 3: Cross multiply
    574.28x = 792.74 × 426.65
  4. Step 4: Simplify right side
    574.28x = 338,216.42
  5. Step 5: Solve for x
    x = 338,216.42/574.28
  6. Step 6: Final answer
    x = 588.95

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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.