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Finding the Fourth Proportional to 816.94, 1,225.47 and 330.04

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Solution

The fourth proportional to 816.94, 1,225.47 and 330.04 is: 495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.94 : 1,225.47 = 330.04 : x
  2. Step 2: Convert to fraction form
    816.94/1,225.47 = 330.04/x
  3. Step 3: Cross multiply
    816.94x = 1,225.47 × 330.04
  4. Step 4: Simplify right side
    816.94x = 404,454.12
  5. Step 5: Solve for x
    x = 404,454.12/816.94
  6. Step 6: Final answer
    x = 495.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.