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Finding the Fourth Proportional to 816.95, 1,225.77 and 329.88

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Solution

The fourth proportional to 816.95, 1,225.77 and 329.88 is: 494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.95 : 1,225.77 = 329.88 : x
  2. Step 2: Convert to fraction form
    816.95/1,225.77 = 329.88/x
  3. Step 3: Cross multiply
    816.95x = 1,225.77 × 329.88
  4. Step 4: Simplify right side
    816.95x = 404,357.01
  5. Step 5: Solve for x
    x = 404,357.01/816.95
  6. Step 6: Final answer
    x = 494.96

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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.