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Finding the Fourth Proportional to 827.72, 1,241.60 and 307.78

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Solution

The fourth proportional to 827.72, 1,241.60 and 307.78 is: 461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.72 : 1,241.60 = 307.78 : x
  2. Step 2: Convert to fraction form
    827.72/1,241.60 = 307.78/x
  3. Step 3: Cross multiply
    827.72x = 1,241.60 × 307.78
  4. Step 4: Simplify right side
    827.72x = 382,139.65
  5. Step 5: Solve for x
    x = 382,139.65/827.72
  6. Step 6: Final answer
    x = 461.68

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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.