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Finding the Fourth Proportional to 1,299.57, 1,793.44 and 827.47

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Solution

The fourth proportional to 1,299.57, 1,793.44 and 827.47 is: 1,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.57 : 1,793.44 = 827.47 : x
  2. Step 2: Convert to fraction form
    1,299.57/1,793.44 = 827.47/x
  3. Step 3: Cross multiply
    1,299.57x = 1,793.44 × 827.47
  4. Step 4: Simplify right side
    1,299.57x = 1,484,017.80
  5. Step 5: Solve for x
    x = 1,484,017.80/1,299.57
  6. Step 6: Final answer
    x = 1,141.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.