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Finding the Fourth Proportional to 816.51, 1,223.95 and 329.83

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Solution

The fourth proportional to 816.51, 1,223.95 and 329.83 is: 494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.51 : 1,223.95 = 329.83 : x
  2. Step 2: Convert to fraction form
    816.51/1,223.95 = 329.83/x
  3. Step 3: Cross multiply
    816.51x = 1,223.95 × 329.83
  4. Step 4: Simplify right side
    816.51x = 403,693.78
  5. Step 5: Solve for x
    x = 403,693.78/816.51
  6. Step 6: Final answer
    x = 494.42

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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.