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Finding the Fourth Proportional to 824.46, 1,136.31 and 684.30

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Solution

The fourth proportional to 824.46, 1,136.31 and 684.30 is: 943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.46 : 1,136.31 = 684.30 : x
  2. Step 2: Convert to fraction form
    824.46/1,136.31 = 684.30/x
  3. Step 3: Cross multiply
    824.46x = 1,136.31 × 684.30
  4. Step 4: Simplify right side
    824.46x = 777,576.93
  5. Step 5: Solve for x
    x = 777,576.93/824.46
  6. Step 6: Final answer
    x = 943.13

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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.