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Finding the Fourth Proportional to 817.12, 1,224.80 and 330.08

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Solution

The fourth proportional to 817.12, 1,224.80 and 330.08 is: 494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.12 : 1,224.80 = 330.08 : x
  2. Step 2: Convert to fraction form
    817.12/1,224.80 = 330.08/x
  3. Step 3: Cross multiply
    817.12x = 1,224.80 × 330.08
  4. Step 4: Simplify right side
    817.12x = 404,281.98
  5. Step 5: Solve for x
    x = 404,281.98/817.12
  6. Step 6: Final answer
    x = 494.76

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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.