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Finding the Fourth Proportional to 574.30, 792.63 and 377.80

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Solution

The fourth proportional to 574.30, 792.63 and 377.80 is: 521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.30 : 792.63 = 377.80 : x
  2. Step 2: Convert to fraction form
    574.30/792.63 = 377.80/x
  3. Step 3: Cross multiply
    574.30x = 792.63 × 377.80
  4. Step 4: Simplify right side
    574.30x = 299,455.61
  5. Step 5: Solve for x
    x = 299,455.61/574.30
  6. Step 6: Final answer
    x = 521.43

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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.