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Finding the Fourth Proportional to 824.04, 1,231.16 and 816.75

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Solution

The fourth proportional to 824.04, 1,231.16 and 816.75 is: 1,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.04 : 1,231.16 = 816.75 : x
  2. Step 2: Convert to fraction form
    824.04/1,231.16 = 816.75/x
  3. Step 3: Cross multiply
    824.04x = 1,231.16 × 816.75
  4. Step 4: Simplify right side
    824.04x = 1,005,545.85
  5. Step 5: Solve for x
    x = 1,005,545.85/824.04
  6. Step 6: Final answer
    x = 1,220.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.