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Finding the Fourth Proportional to 827, 1,240.53 and 307.13

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Solution

The fourth proportional to 827, 1,240.53 and 307.13 is: 460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    827 : 1,240.53 = 307.13 : x
  2. Step 2: Convert to fraction form
    827/1,240.53 = 307.13/x
  3. Step 3: Cross multiply
    827x = 1,240.53 × 307.13
  4. Step 4: Simplify right side
    827x = 381,003.98
  5. Step 5: Solve for x
    x = 381,003.98/827
  6. Step 6: Final answer
    x = 460.71

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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.