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Finding the Fourth Proportional to 827.87, 1,240.92 and 307.53

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Solution

The fourth proportional to 827.87, 1,240.92 and 307.53 is: 460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.87 : 1,240.92 = 307.53 : x
  2. Step 2: Convert to fraction form
    827.87/1,240.92 = 307.53/x
  3. Step 3: Cross multiply
    827.87x = 1,240.92 × 307.53
  4. Step 4: Simplify right side
    827.87x = 381,620.13
  5. Step 5: Solve for x
    x = 381,620.13/827.87
  6. Step 6: Final answer
    x = 460.97

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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.