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Finding the Fourth Proportional to 2,258.61, 3,387.36 and 615.16

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Solution

The fourth proportional to 2,258.61, 3,387.36 and 615.16 is: 922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.61 : 3,387.36 = 615.16 : x
  2. Step 2: Convert to fraction form
    2,258.61/3,387.36 = 615.16/x
  3. Step 3: Cross multiply
    2,258.61x = 3,387.36 × 615.16
  4. Step 4: Simplify right side
    2,258.61x = 2,083,774.92
  5. Step 5: Solve for x
    x = 2,083,774.92/2,258.61
  6. Step 6: Final answer
    x = 922.59

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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.