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Finding the Fourth Proportional to 574.91, 792.56 and 409.06

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Solution

The fourth proportional to 574.91, 792.56 and 409.06 is: 563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.91 : 792.56 = 409.06 : x
  2. Step 2: Convert to fraction form
    574.91/792.56 = 409.06/x
  3. Step 3: Cross multiply
    574.91x = 792.56 × 409.06
  4. Step 4: Simplify right side
    574.91x = 324,204.59
  5. Step 5: Solve for x
    x = 324,204.59/574.91
  6. Step 6: Final answer
    x = 563.92

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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.