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Finding the Fourth Proportional to 840.20, 1,258.24 and 725.38

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Solution

The fourth proportional to 840.20, 1,258.24 and 725.38 is: 1,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.20 : 1,258.24 = 725.38 : x
  2. Step 2: Convert to fraction form
    840.20/1,258.24 = 725.38/x
  3. Step 3: Cross multiply
    840.20x = 1,258.24 × 725.38
  4. Step 4: Simplify right side
    840.20x = 912,704.11
  5. Step 5: Solve for x
    x = 912,704.11/840.20
  6. Step 6: Final answer
    x = 1,086.30

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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.