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Finding the Fourth Proportional to 1,479.31, 2,219.62 and 785.82

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Solution

The fourth proportional to 1,479.31, 2,219.62 and 785.82 is: 1,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.31 : 2,219.62 = 785.82 : x
  2. Step 2: Convert to fraction form
    1,479.31/2,219.62 = 785.82/x
  3. Step 3: Cross multiply
    1,479.31x = 2,219.62 × 785.82
  4. Step 4: Simplify right side
    1,479.31x = 1,744,217.14
  5. Step 5: Solve for x
    x = 1,744,217.14/1,479.31
  6. Step 6: Final answer
    x = 1,179.07

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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.