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Finding the Fourth Proportional to 574.25, 792.48 and 434.12

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Solution

The fourth proportional to 574.25, 792.48 and 434.12 is: 599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.25 : 792.48 = 434.12 : x
  2. Step 2: Convert to fraction form
    574.25/792.48 = 434.12/x
  3. Step 3: Cross multiply
    574.25x = 792.48 × 434.12
  4. Step 4: Simplify right side
    574.25x = 344,027.46
  5. Step 5: Solve for x
    x = 344,027.46/574.25
  6. Step 6: Final answer
    x = 599.10

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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.