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Finding the Fourth Proportional to 574.88, 865.45 and 523.85

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Solution

The fourth proportional to 574.88, 865.45 and 523.85 is: 788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.88 : 865.45 = 523.85 : x
  2. Step 2: Convert to fraction form
    574.88/865.45 = 523.85/x
  3. Step 3: Cross multiply
    574.88x = 865.45 × 523.85
  4. Step 4: Simplify right side
    574.88x = 453,365.98
  5. Step 5: Solve for x
    x = 453,365.98/574.88
  6. Step 6: Final answer
    x = 788.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.