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Finding the Fourth Proportional to 824.19, 1,136.97 and 492.42

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Solution

The fourth proportional to 824.19, 1,136.97 and 492.42 is: 679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.19 : 1,136.97 = 492.42 : x
  2. Step 2: Convert to fraction form
    824.19/1,136.97 = 492.42/x
  3. Step 3: Cross multiply
    824.19x = 1,136.97 × 492.42
  4. Step 4: Simplify right side
    824.19x = 559,866.77
  5. Step 5: Solve for x
    x = 559,866.77/824.19
  6. Step 6: Final answer
    x = 679.29

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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.