Home / 1,640.25-2,263.52-977.13

Finding the Fourth Proportional to 1,640.25, 2,263.52 and 977.13

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Solution

The fourth proportional to 1,640.25, 2,263.52 and 977.13 is: 1,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.25 : 2,263.52 = 977.13 : x
  2. Step 2: Convert to fraction form
    1,640.25/2,263.52 = 977.13/x
  3. Step 3: Cross multiply
    1,640.25x = 2,263.52 × 977.13
  4. Step 4: Simplify right side
    1,640.25x = 2,211,755.74
  5. Step 5: Solve for x
    x = 2,211,755.74/1,640.25
  6. Step 6: Final answer
    x = 1,348.43

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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.