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Finding the Fourth Proportional to 1,640.10, 2,263.23 and 1,010.55

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Solution

The fourth proportional to 1,640.10, 2,263.23 and 1,010.55 is: 1,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.10 : 2,263.23 = 1,010.55 : x
  2. Step 2: Convert to fraction form
    1,640.10/2,263.23 = 1,010.55/x
  3. Step 3: Cross multiply
    1,640.10x = 2,263.23 × 1,010.55
  4. Step 4: Simplify right side
    1,640.10x = 2,287,107.08
  5. Step 5: Solve for x
    x = 2,287,107.08/1,640.10
  6. Step 6: Final answer
    x = 1,394.49

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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.