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Finding the Fourth Proportional to 573.48, 791.15 and 415.86

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Solution

The fourth proportional to 573.48, 791.15 and 415.86 is: 573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.48 : 791.15 = 415.86 : x
  2. Step 2: Convert to fraction form
    573.48/791.15 = 415.86/x
  3. Step 3: Cross multiply
    573.48x = 791.15 × 415.86
  4. Step 4: Simplify right side
    573.48x = 329,005.56
  5. Step 5: Solve for x
    x = 329,005.56/573.48
  6. Step 6: Final answer
    x = 573.70

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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.