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Finding the Fourth Proportional to 839.85, 1,257.08 and 448.88

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Solution

The fourth proportional to 839.85, 1,257.08 and 448.88 is: 671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.85 : 1,257.08 = 448.88 : x
  2. Step 2: Convert to fraction form
    839.85/1,257.08 = 448.88/x
  3. Step 3: Cross multiply
    839.85x = 1,257.08 × 448.88
  4. Step 4: Simplify right side
    839.85x = 564,269.54
  5. Step 5: Solve for x
    x = 564,269.54/839.85
  6. Step 6: Final answer
    x = 671.87

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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.