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Finding the Fourth Proportional to 1,493.10, 2,239.68 and 519.18

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Solution

The fourth proportional to 1,493.10, 2,239.68 and 519.18 is: 778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.10 : 2,239.68 = 519.18 : x
  2. Step 2: Convert to fraction form
    1,493.10/2,239.68 = 519.18/x
  3. Step 3: Cross multiply
    1,493.10x = 2,239.68 × 519.18
  4. Step 4: Simplify right side
    1,493.10x = 1,162,797.06
  5. Step 5: Solve for x
    x = 1,162,797.06/1,493.10
  6. Step 6: Final answer
    x = 778.78

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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.