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Finding the Fourth Proportional to 827.82, 1,242.03 and 250.70

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Solution

The fourth proportional to 827.82, 1,242.03 and 250.70 is: 376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.82 : 1,242.03 = 250.70 : x
  2. Step 2: Convert to fraction form
    827.82/1,242.03 = 250.70/x
  3. Step 3: Cross multiply
    827.82x = 1,242.03 × 250.70
  4. Step 4: Simplify right side
    827.82x = 311,370.71
  5. Step 5: Solve for x
    x = 311,370.71/827.82
  6. Step 6: Final answer
    x = 376.13

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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.