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Finding the Fourth Proportional to 583.92, 874.36 and 439.92

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Solution

The fourth proportional to 583.92, 874.36 and 439.92 is: 658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 874.36 = 439.92 : x
  2. Step 2: Convert to fraction form
    583.92/874.36 = 439.92/x
  3. Step 3: Cross multiply
    583.92x = 874.36 × 439.92
  4. Step 4: Simplify right side
    583.92x = 384,648.45
  5. Step 5: Solve for x
    x = 384,648.45/583.92
  6. Step 6: Final answer
    x = 658.73

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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.