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Finding the Fourth Proportional to 812.67, 1,223.88 and 683.50

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Solution

The fourth proportional to 812.67, 1,223.88 and 683.50 is: 1,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.67 : 1,223.88 = 683.50 : x
  2. Step 2: Convert to fraction form
    812.67/1,223.88 = 683.50/x
  3. Step 3: Cross multiply
    812.67x = 1,223.88 × 683.50
  4. Step 4: Simplify right side
    812.67x = 836,521.98
  5. Step 5: Solve for x
    x = 836,521.98/812.67
  6. Step 6: Final answer
    x = 1,029.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.