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Finding the Fourth Proportional to 573.80, 791.86 and 337.91

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Solution

The fourth proportional to 573.80, 791.86 and 337.91 is: 466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.80 : 791.86 = 337.91 : x
  2. Step 2: Convert to fraction form
    573.80/791.86 = 337.91/x
  3. Step 3: Cross multiply
    573.80x = 791.86 × 337.91
  4. Step 4: Simplify right side
    573.80x = 267,572.61
  5. Step 5: Solve for x
    x = 267,572.61/573.80
  6. Step 6: Final answer
    x = 466.32

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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.