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Finding the Fourth Proportional to 827.89, 1,242.14 and 778.99

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Solution

The fourth proportional to 827.89, 1,242.14 and 778.99 is: 1,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.89 : 1,242.14 = 778.99 : x
  2. Step 2: Convert to fraction form
    827.89/1,242.14 = 778.99/x
  3. Step 3: Cross multiply
    827.89x = 1,242.14 × 778.99
  4. Step 4: Simplify right side
    827.89x = 967,611.29
  5. Step 5: Solve for x
    x = 967,611.29/827.89
  6. Step 6: Final answer
    x = 1,168.77

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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.