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Finding the Fourth Proportional to 2,319.60, 3,479.40 and 780.60

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Solution

The fourth proportional to 2,319.60, 3,479.40 and 780.60 is: 1,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.60 : 3,479.40 = 780.60 : x
  2. Step 2: Convert to fraction form
    2,319.60/3,479.40 = 780.60/x
  3. Step 3: Cross multiply
    2,319.60x = 3,479.40 × 780.60
  4. Step 4: Simplify right side
    2,319.60x = 2,716,019.64
  5. Step 5: Solve for x
    x = 2,716,019.64/2,319.60
  6. Step 6: Final answer
    x = 1,170.90

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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.