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Finding the Fourth Proportional to 839.18, 1,258.30 and 449.63

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Solution

The fourth proportional to 839.18, 1,258.30 and 449.63 is: 674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.18 : 1,258.30 = 449.63 : x
  2. Step 2: Convert to fraction form
    839.18/1,258.30 = 449.63/x
  3. Step 3: Cross multiply
    839.18x = 1,258.30 × 449.63
  4. Step 4: Simplify right side
    839.18x = 565,767.18
  5. Step 5: Solve for x
    x = 565,767.18/839.18
  6. Step 6: Final answer
    x = 674.19

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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.