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Finding the Fourth Proportional to 1,378.64, 2,067.32 and 466

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Solution

The fourth proportional to 1,378.64, 2,067.32 and 466 is: 698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.64 : 2,067.32 = 466 : x
  2. Step 2: Convert to fraction form
    1,378.64/2,067.32 = 466/x
  3. Step 3: Cross multiply
    1,378.64x = 2,067.32 × 466
  4. Step 4: Simplify right side
    1,378.64x = 963,371.12
  5. Step 5: Solve for x
    x = 963,371.12/1,378.64
  6. Step 6: Final answer
    x = 698.78

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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.