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Finding the Fourth Proportional to 827.74, 1,242.04 and 365.83

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Solution

The fourth proportional to 827.74, 1,242.04 and 365.83 is: 548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.74 : 1,242.04 = 365.83 : x
  2. Step 2: Convert to fraction form
    827.74/1,242.04 = 365.83/x
  3. Step 3: Cross multiply
    827.74x = 1,242.04 × 365.83
  4. Step 4: Simplify right side
    827.74x = 454,379.15
  5. Step 5: Solve for x
    x = 454,379.15/827.74
  6. Step 6: Final answer
    x = 548.94

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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.