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Finding the Fourth Proportional to 1,238.84, 1,856.22 and 824.68

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Solution

The fourth proportional to 1,238.84, 1,856.22 and 824.68 is: 1,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.84 : 1,856.22 = 824.68 : x
  2. Step 2: Convert to fraction form
    1,238.84/1,856.22 = 824.68/x
  3. Step 3: Cross multiply
    1,238.84x = 1,856.22 × 824.68
  4. Step 4: Simplify right side
    1,238.84x = 1,530,786.74
  5. Step 5: Solve for x
    x = 1,530,786.74/1,238.84
  6. Step 6: Final answer
    x = 1,235.66

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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.