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Finding the Fourth Proportional to 839.90, 1,258.97 and 547.58

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Solution

The fourth proportional to 839.90, 1,258.97 and 547.58 is: 820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.90 : 1,258.97 = 547.58 : x
  2. Step 2: Convert to fraction form
    839.90/1,258.97 = 547.58/x
  3. Step 3: Cross multiply
    839.90x = 1,258.97 × 547.58
  4. Step 4: Simplify right side
    839.90x = 689,387.20
  5. Step 5: Solve for x
    x = 689,387.20/839.90
  6. Step 6: Final answer
    x = 820.79

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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.