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Finding the Fourth Proportional to 1,239.20, 1,710.33 and 819.57

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Solution

The fourth proportional to 1,239.20, 1,710.33 and 819.57 is: 1,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.20 : 1,710.33 = 819.57 : x
  2. Step 2: Convert to fraction form
    1,239.20/1,710.33 = 819.57/x
  3. Step 3: Cross multiply
    1,239.20x = 1,710.33 × 819.57
  4. Step 4: Simplify right side
    1,239.20x = 1,401,735.16
  5. Step 5: Solve for x
    x = 1,401,735.16/1,239.20
  6. Step 6: Final answer
    x = 1,131.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.