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Finding the Fourth Proportional to 2,258.65, 3,387.58 and 614.98

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Solution

The fourth proportional to 2,258.65, 3,387.58 and 614.98 is: 922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.65 : 3,387.58 = 614.98 : x
  2. Step 2: Convert to fraction form
    2,258.65/3,387.58 = 614.98/x
  3. Step 3: Cross multiply
    2,258.65x = 3,387.58 × 614.98
  4. Step 4: Simplify right side
    2,258.65x = 2,083,293.95
  5. Step 5: Solve for x
    x = 2,083,293.95/2,258.65
  6. Step 6: Final answer
    x = 922.36

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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.