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Finding the Fourth Proportional to 839.85, 1,258.41 and 514.53

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Solution

The fourth proportional to 839.85, 1,258.41 and 514.53 is: 770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.85 : 1,258.41 = 514.53 : x
  2. Step 2: Convert to fraction form
    839.85/1,258.41 = 514.53/x
  3. Step 3: Cross multiply
    839.85x = 1,258.41 × 514.53
  4. Step 4: Simplify right side
    839.85x = 647,489.70
  5. Step 5: Solve for x
    x = 647,489.70/839.85
  6. Step 6: Final answer
    x = 770.96

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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.