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Finding the Fourth Proportional to 823.38, 1,228.04 and 810.69

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Solution

The fourth proportional to 823.38, 1,228.04 and 810.69 is: 1,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.38 : 1,228.04 = 810.69 : x
  2. Step 2: Convert to fraction form
    823.38/1,228.04 = 810.69/x
  3. Step 3: Cross multiply
    823.38x = 1,228.04 × 810.69
  4. Step 4: Simplify right side
    823.38x = 995,555.69
  5. Step 5: Solve for x
    x = 995,555.69/823.38
  6. Step 6: Final answer
    x = 1,209.11

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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.