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Finding the Fourth Proportional to 574.48, 792.66 and 377.92

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Solution

The fourth proportional to 574.48, 792.66 and 377.92 is: 521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.48 : 792.66 = 377.92 : x
  2. Step 2: Convert to fraction form
    574.48/792.66 = 377.92/x
  3. Step 3: Cross multiply
    574.48x = 792.66 × 377.92
  4. Step 4: Simplify right side
    574.48x = 299,562.07
  5. Step 5: Solve for x
    x = 299,562.07/574.48
  6. Step 6: Final answer
    x = 521.45

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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.