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Finding the Fourth Proportional to 574.47, 860.86 and 257.47

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Solution

The fourth proportional to 574.47, 860.86 and 257.47 is: 385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.47 : 860.86 = 257.47 : x
  2. Step 2: Convert to fraction form
    574.47/860.86 = 257.47/x
  3. Step 3: Cross multiply
    574.47x = 860.86 × 257.47
  4. Step 4: Simplify right side
    574.47x = 221,645.62
  5. Step 5: Solve for x
    x = 221,645.62/574.47
  6. Step 6: Final answer
    x = 385.83

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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.