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Finding the Fourth Proportional to 587.70, 878.90 and 448.92

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Solution

The fourth proportional to 587.70, 878.90 and 448.92 is: 671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.70 : 878.90 = 448.92 : x
  2. Step 2: Convert to fraction form
    587.70/878.90 = 448.92/x
  3. Step 3: Cross multiply
    587.70x = 878.90 × 448.92
  4. Step 4: Simplify right side
    587.70x = 394,549.15
  5. Step 5: Solve for x
    x = 394,549.15/587.70
  6. Step 6: Final answer
    x = 671.35

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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.