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Finding the Fourth Proportional to 984.98, 1,357.44 and 827.76

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Solution

The fourth proportional to 984.98, 1,357.44 and 827.76 is: 1,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.98 : 1,357.44 = 827.76 : x
  2. Step 2: Convert to fraction form
    984.98/1,357.44 = 827.76/x
  3. Step 3: Cross multiply
    984.98x = 1,357.44 × 827.76
  4. Step 4: Simplify right side
    984.98x = 1,123,634.53
  5. Step 5: Solve for x
    x = 1,123,634.53/984.98
  6. Step 6: Final answer
    x = 1,140.77

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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.