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Finding the Fourth Proportional to 2,319.44, 3,479.45 and 859.61

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Solution

The fourth proportional to 2,319.44, 3,479.45 and 859.61 is: 1,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.44 : 3,479.45 = 859.61 : x
  2. Step 2: Convert to fraction form
    2,319.44/3,479.45 = 859.61/x
  3. Step 3: Cross multiply
    2,319.44x = 3,479.45 × 859.61
  4. Step 4: Simplify right side
    2,319.44x = 2,990,948.32
  5. Step 5: Solve for x
    x = 2,990,948.32/2,319.44
  6. Step 6: Final answer
    x = 1,289.52

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