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Finding the Fourth Proportional to 588.45, 879.30 and 448.86

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Solution

The fourth proportional to 588.45, 879.30 and 448.86 is: 670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.45 : 879.30 = 448.86 : x
  2. Step 2: Convert to fraction form
    588.45/879.30 = 448.86/x
  3. Step 3: Cross multiply
    588.45x = 879.30 × 448.86
  4. Step 4: Simplify right side
    588.45x = 394,685.90
  5. Step 5: Solve for x
    x = 394,685.90/588.45
  6. Step 6: Final answer
    x = 670.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.