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Finding the Fourth Proportional to 816.05, 1,223.15 and 469.55

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Solution

The fourth proportional to 816.05, 1,223.15 and 469.55 is: 703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.05 : 1,223.15 = 469.55 : x
  2. Step 2: Convert to fraction form
    816.05/1,223.15 = 469.55/x
  3. Step 3: Cross multiply
    816.05x = 1,223.15 × 469.55
  4. Step 4: Simplify right side
    816.05x = 574,321.62
  5. Step 5: Solve for x
    x = 574,321.62/816.05
  6. Step 6: Final answer
    x = 703.79

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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.