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Finding the Fourth Proportional to 842.64, 1,264.44 and 330

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Solution

The fourth proportional to 842.64, 1,264.44 and 330 is: 495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.64 : 1,264.44 = 330 : x
  2. Step 2: Convert to fraction form
    842.64/1,264.44 = 330/x
  3. Step 3: Cross multiply
    842.64x = 1,264.44 × 330
  4. Step 4: Simplify right side
    842.64x = 417,265.20
  5. Step 5: Solve for x
    x = 417,265.20/842.64
  6. Step 6: Final answer
    x = 495.19

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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.