Home / 1,640.45-2,263.24-1,002.17

Finding the Fourth Proportional to 1,640.45, 2,263.24 and 1,002.17

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Solution

The fourth proportional to 1,640.45, 2,263.24 and 1,002.17 is: 1,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.45 : 2,263.24 = 1,002.17 : x
  2. Step 2: Convert to fraction form
    1,640.45/2,263.24 = 1,002.17/x
  3. Step 3: Cross multiply
    1,640.45x = 2,263.24 × 1,002.17
  4. Step 4: Simplify right side
    1,640.45x = 2,268,158.14
  5. Step 5: Solve for x
    x = 2,268,158.14/1,640.45
  6. Step 6: Final answer
    x = 1,382.64

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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.