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Finding the Fourth Proportional to 2,258.05, 3,387.06 and 614.58

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Solution

The fourth proportional to 2,258.05, 3,387.06 and 614.58 is: 921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.05 : 3,387.06 = 614.58 : x
  2. Step 2: Convert to fraction form
    2,258.05/3,387.06 = 614.58/x
  3. Step 3: Cross multiply
    2,258.05x = 3,387.06 × 614.58
  4. Step 4: Simplify right side
    2,258.05x = 2,081,619.33
  5. Step 5: Solve for x
    x = 2,081,619.33/2,258.05
  6. Step 6: Final answer
    x = 921.87

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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.