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Finding the Fourth Proportional to 574.46, 860.16 and 392.21

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Solution

The fourth proportional to 574.46, 860.16 and 392.21 is: 587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.46 : 860.16 = 392.21 : x
  2. Step 2: Convert to fraction form
    574.46/860.16 = 392.21/x
  3. Step 3: Cross multiply
    574.46x = 860.16 × 392.21
  4. Step 4: Simplify right side
    574.46x = 337,363.35
  5. Step 5: Solve for x
    x = 337,363.35/574.46
  6. Step 6: Final answer
    x = 587.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.