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Finding the Fourth Proportional to 817.48, 1,223.79 and 679.27

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Solution

The fourth proportional to 817.48, 1,223.79 and 679.27 is: 1,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.48 : 1,223.79 = 679.27 : x
  2. Step 2: Convert to fraction form
    817.48/1,223.79 = 679.27/x
  3. Step 3: Cross multiply
    817.48x = 1,223.79 × 679.27
  4. Step 4: Simplify right side
    817.48x = 831,283.83
  5. Step 5: Solve for x
    x = 831,283.83/817.48
  6. Step 6: Final answer
    x = 1,016.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.