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Finding the Fourth Proportional to 574.72, 857.17 and 488.62

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Solution

The fourth proportional to 574.72, 857.17 and 488.62 is: 728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.72 : 857.17 = 488.62 : x
  2. Step 2: Convert to fraction form
    574.72/857.17 = 488.62/x
  3. Step 3: Cross multiply
    574.72x = 857.17 × 488.62
  4. Step 4: Simplify right side
    574.72x = 418,830.41
  5. Step 5: Solve for x
    x = 418,830.41/574.72
  6. Step 6: Final answer
    x = 728.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.