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Finding the Fourth Proportional to 1,238.92, 1,709.22 and 819.50

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Solution

The fourth proportional to 1,238.92, 1,709.22 and 819.50 is: 1,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.92 : 1,709.22 = 819.50 : x
  2. Step 2: Convert to fraction form
    1,238.92/1,709.22 = 819.50/x
  3. Step 3: Cross multiply
    1,238.92x = 1,709.22 × 819.50
  4. Step 4: Simplify right side
    1,238.92x = 1,400,705.79
  5. Step 5: Solve for x
    x = 1,400,705.79/1,238.92
  6. Step 6: Final answer
    x = 1,130.59

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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.