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Finding the Fourth Proportional to 847.10, 1,270.74 and 269.84

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Solution

The fourth proportional to 847.10, 1,270.74 and 269.84 is: 404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.10 : 1,270.74 = 269.84 : x
  2. Step 2: Convert to fraction form
    847.10/1,270.74 = 269.84/x
  3. Step 3: Cross multiply
    847.10x = 1,270.74 × 269.84
  4. Step 4: Simplify right side
    847.10x = 342,896.48
  5. Step 5: Solve for x
    x = 342,896.48/847.10
  6. Step 6: Final answer
    x = 404.79

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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.