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Finding the Fourth Proportional to 824.62, 1,136.97 and 562.18

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Solution

The fourth proportional to 824.62, 1,136.97 and 562.18 is: 775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.62 : 1,136.97 = 562.18 : x
  2. Step 2: Convert to fraction form
    824.62/1,136.97 = 562.18/x
  3. Step 3: Cross multiply
    824.62x = 1,136.97 × 562.18
  4. Step 4: Simplify right side
    824.62x = 639,181.79
  5. Step 5: Solve for x
    x = 639,181.79/824.62
  6. Step 6: Final answer
    x = 775.12

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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.