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Finding the Fourth Proportional to 824.13, 1,136.12 and 682.42

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Solution

The fourth proportional to 824.13, 1,136.12 and 682.42 is: 940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.13 : 1,136.12 = 682.42 : x
  2. Step 2: Convert to fraction form
    824.13/1,136.12 = 682.42/x
  3. Step 3: Cross multiply
    824.13x = 1,136.12 × 682.42
  4. Step 4: Simplify right side
    824.13x = 775,311.01
  5. Step 5: Solve for x
    x = 775,311.01/824.13
  6. Step 6: Final answer
    x = 940.76

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1.5x scale

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.