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Finding the Fourth Proportional to 2,319.87, 3,480.17 and 780.75

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Solution

The fourth proportional to 2,319.87, 3,480.17 and 780.75 is: 1,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.87 : 3,480.17 = 780.75 : x
  2. Step 2: Convert to fraction form
    2,319.87/3,480.17 = 780.75/x
  3. Step 3: Cross multiply
    2,319.87x = 3,480.17 × 780.75
  4. Step 4: Simplify right side
    2,319.87x = 2,717,138.82
  5. Step 5: Solve for x
    x = 2,717,138.82/2,319.87
  6. Step 6: Final answer
    x = 1,171.25

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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.