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Finding the Fourth Proportional to 573.74, 792.14 and 387.44

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Solution

The fourth proportional to 573.74, 792.14 and 387.44 is: 534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.74 : 792.14 = 387.44 : x
  2. Step 2: Convert to fraction form
    573.74/792.14 = 387.44/x
  3. Step 3: Cross multiply
    573.74x = 792.14 × 387.44
  4. Step 4: Simplify right side
    573.74x = 306,906.72
  5. Step 5: Solve for x
    x = 306,906.72/573.74
  6. Step 6: Final answer
    x = 534.92

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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.