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Finding the Fourth Proportional to 824.82, 1,136.52 and 562.38

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Solution

The fourth proportional to 824.82, 1,136.52 and 562.38 is: 774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.82 : 1,136.52 = 562.38 : x
  2. Step 2: Convert to fraction form
    824.82/1,136.52 = 562.38/x
  3. Step 3: Cross multiply
    824.82x = 1,136.52 × 562.38
  4. Step 4: Simplify right side
    824.82x = 639,156.12
  5. Step 5: Solve for x
    x = 639,156.12/824.82
  6. Step 6: Final answer
    x = 774.90

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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.