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Finding the Fourth Proportional to 1,492.82, 2,239.17 and 519.14

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Solution

The fourth proportional to 1,492.82, 2,239.17 and 519.14 is: 778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.82 : 2,239.17 = 519.14 : x
  2. Step 2: Convert to fraction form
    1,492.82/2,239.17 = 519.14/x
  3. Step 3: Cross multiply
    1,492.82x = 2,239.17 × 519.14
  4. Step 4: Simplify right side
    1,492.82x = 1,162,442.71
  5. Step 5: Solve for x
    x = 1,162,442.71/1,492.82
  6. Step 6: Final answer
    x = 778.69

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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.