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Finding the Fourth Proportional to 582.64, 878.24 and 574.44

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Solution

The fourth proportional to 582.64, 878.24 and 574.44 is: 865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.64 : 878.24 = 574.44 : x
  2. Step 2: Convert to fraction form
    582.64/878.24 = 574.44/x
  3. Step 3: Cross multiply
    582.64x = 878.24 × 574.44
  4. Step 4: Simplify right side
    582.64x = 504,499.27
  5. Step 5: Solve for x
    x = 504,499.27/582.64
  6. Step 6: Final answer
    x = 865.88

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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.