Home / 1,640.31-2,263.37-977.14

Finding the Fourth Proportional to 1,640.31, 2,263.37 and 977.14

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Solution

The fourth proportional to 1,640.31, 2,263.37 and 977.14 is: 1,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.31 : 2,263.37 = 977.14 : x
  2. Step 2: Convert to fraction form
    1,640.31/2,263.37 = 977.14/x
  3. Step 3: Cross multiply
    1,640.31x = 2,263.37 × 977.14
  4. Step 4: Simplify right side
    1,640.31x = 2,211,629.36
  5. Step 5: Solve for x
    x = 2,211,629.36/1,640.31
  6. Step 6: Final answer
    x = 1,348.30

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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.