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Finding the Fourth Proportional to 2,319.01, 3,478.55 and 759

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Solution

The fourth proportional to 2,319.01, 3,478.55 and 759 is: 1,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.01 : 3,478.55 = 759 : x
  2. Step 2: Convert to fraction form
    2,319.01/3,478.55 = 759/x
  3. Step 3: Cross multiply
    2,319.01x = 3,478.55 × 759
  4. Step 4: Simplify right side
    2,319.01x = 2,640,215.66
  5. Step 5: Solve for x
    x = 2,640,215.66/2,319.01
  6. Step 6: Final answer
    x = 1,138.51

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.