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Finding the Fourth Proportional to 587.95, 879.27 and 449.17

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Solution

The fourth proportional to 587.95, 879.27 and 449.17 is: 671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.95 : 879.27 = 449.17 : x
  2. Step 2: Convert to fraction form
    587.95/879.27 = 449.17/x
  3. Step 3: Cross multiply
    587.95x = 879.27 × 449.17
  4. Step 4: Simplify right side
    587.95x = 394,941.71
  5. Step 5: Solve for x
    x = 394,941.71/587.95
  6. Step 6: Final answer
    x = 671.73

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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.