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Finding the Fourth Proportional to 1,640.88, 2,264.38 and 977.71

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Solution

The fourth proportional to 1,640.88, 2,264.38 and 977.71 is: 1,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.88 : 2,264.38 = 977.71 : x
  2. Step 2: Convert to fraction form
    1,640.88/2,264.38 = 977.71/x
  3. Step 3: Cross multiply
    1,640.88x = 2,264.38 × 977.71
  4. Step 4: Simplify right side
    1,640.88x = 2,213,906.97
  5. Step 5: Solve for x
    x = 2,213,906.97/1,640.88
  6. Step 6: Final answer
    x = 1,349.22

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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.