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Finding the Fourth Proportional to 574.54, 787.52 and 566.44

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Solution

The fourth proportional to 574.54, 787.52 and 566.44 is: 776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.54 : 787.52 = 566.44 : x
  2. Step 2: Convert to fraction form
    574.54/787.52 = 566.44/x
  3. Step 3: Cross multiply
    574.54x = 787.52 × 566.44
  4. Step 4: Simplify right side
    574.54x = 446,086.71
  5. Step 5: Solve for x
    x = 446,086.71/574.54
  6. Step 6: Final answer
    x = 776.42

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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.