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Finding the Fourth Proportional to 1,640.97, 2,264.85 and 978.21

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Solution

The fourth proportional to 1,640.97, 2,264.85 and 978.21 is: 1,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.97 : 2,264.85 = 978.21 : x
  2. Step 2: Convert to fraction form
    1,640.97/2,264.85 = 978.21/x
  3. Step 3: Cross multiply
    1,640.97x = 2,264.85 × 978.21
  4. Step 4: Simplify right side
    1,640.97x = 2,215,498.92
  5. Step 5: Solve for x
    x = 2,215,498.92/1,640.97
  6. Step 6: Final answer
    x = 1,350.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.