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Finding the Fourth Proportional to 827.50, 1,241.48 and 365.65

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Solution

The fourth proportional to 827.50, 1,241.48 and 365.65 is: 548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.50 : 1,241.48 = 365.65 : x
  2. Step 2: Convert to fraction form
    827.50/1,241.48 = 365.65/x
  3. Step 3: Cross multiply
    827.50x = 1,241.48 × 365.65
  4. Step 4: Simplify right side
    827.50x = 453,947.16
  5. Step 5: Solve for x
    x = 453,947.16/827.50
  6. Step 6: Final answer
    x = 548.58

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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.