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Finding the Fourth Proportional to 582.71, 874.07 and 257.85

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Solution

The fourth proportional to 582.71, 874.07 and 257.85 is: 386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.71 : 874.07 = 257.85 : x
  2. Step 2: Convert to fraction form
    582.71/874.07 = 257.85/x
  3. Step 3: Cross multiply
    582.71x = 874.07 × 257.85
  4. Step 4: Simplify right side
    582.71x = 225,377.66
  5. Step 5: Solve for x
    x = 225,377.66/582.71
  6. Step 6: Final answer
    x = 386.78

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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.