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Finding the Fourth Proportional to 583.32, 874.22 and 257.97

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Solution

The fourth proportional to 583.32, 874.22 and 257.97 is: 386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.32 : 874.22 = 257.97 : x
  2. Step 2: Convert to fraction form
    583.32/874.22 = 257.97/x
  3. Step 3: Cross multiply
    583.32x = 874.22 × 257.97
  4. Step 4: Simplify right side
    583.32x = 225,521.24
  5. Step 5: Solve for x
    x = 225,521.24/583.32
  6. Step 6: Final answer
    x = 386.62

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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.