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Finding the Fourth Proportional to 574.42, 792.22 and 416.74

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Solution

The fourth proportional to 574.42, 792.22 and 416.74 is: 574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.42 : 792.22 = 416.74 : x
  2. Step 2: Convert to fraction form
    574.42/792.22 = 416.74/x
  3. Step 3: Cross multiply
    574.42x = 792.22 × 416.74
  4. Step 4: Simplify right side
    574.42x = 330,149.76
  5. Step 5: Solve for x
    x = 330,149.76/574.42
  6. Step 6: Final answer
    x = 574.75

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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.