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Finding the Fourth Proportional to 2,258.38, 3,387.57 and 958.94

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Solution

The fourth proportional to 2,258.38, 3,387.57 and 958.94 is: 1,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.38 : 3,387.57 = 958.94 : x
  2. Step 2: Convert to fraction form
    2,258.38/3,387.57 = 958.94/x
  3. Step 3: Cross multiply
    2,258.38x = 3,387.57 × 958.94
  4. Step 4: Simplify right side
    2,258.38x = 3,248,476.38
  5. Step 5: Solve for x
    x = 3,248,476.38/2,258.38
  6. Step 6: Final answer
    x = 1,438.41

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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.