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Finding the Fourth Proportional to 816.69, 1,223.42 and 527.25

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Solution

The fourth proportional to 816.69, 1,223.42 and 527.25 is: 789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.69 : 1,223.42 = 527.25 : x
  2. Step 2: Convert to fraction form
    816.69/1,223.42 = 527.25/x
  3. Step 3: Cross multiply
    816.69x = 1,223.42 × 527.25
  4. Step 4: Simplify right side
    816.69x = 645,045.56
  5. Step 5: Solve for x
    x = 645,045.56/816.69
  6. Step 6: Final answer
    x = 789.83

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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.