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Finding the Fourth Proportional to 984.28, 1,356.64 and 824.85

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Solution

The fourth proportional to 984.28, 1,356.64 and 824.85 is: 1,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.28 : 1,356.64 = 824.85 : x
  2. Step 2: Convert to fraction form
    984.28/1,356.64 = 824.85/x
  3. Step 3: Cross multiply
    984.28x = 1,356.64 × 824.85
  4. Step 4: Simplify right side
    984.28x = 1,119,024.50
  5. Step 5: Solve for x
    x = 1,119,024.50/984.28
  6. Step 6: Final answer
    x = 1,136.90

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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.