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Finding the Fourth Proportional to 827.98, 1,242.24 and 365.87

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Solution

The fourth proportional to 827.98, 1,242.24 and 365.87 is: 548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.98 : 1,242.24 = 365.87 : x
  2. Step 2: Convert to fraction form
    827.98/1,242.24 = 365.87/x
  3. Step 3: Cross multiply
    827.98x = 1,242.24 × 365.87
  4. Step 4: Simplify right side
    827.98x = 454,496.52
  5. Step 5: Solve for x
    x = 454,496.52/827.98
  6. Step 6: Final answer
    x = 548.93

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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.