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Finding the Fourth Proportional to 574.20, 787.92 and 568.74

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Solution

The fourth proportional to 574.20, 787.92 and 568.74 is: 780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.20 : 787.92 = 568.74 : x
  2. Step 2: Convert to fraction form
    574.20/787.92 = 568.74/x
  3. Step 3: Cross multiply
    574.20x = 787.92 × 568.74
  4. Step 4: Simplify right side
    574.20x = 448,121.62
  5. Step 5: Solve for x
    x = 448,121.62/574.20
  6. Step 6: Final answer
    x = 780.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.