Home / 1,634.40-2,451.31-464.29

Finding the Fourth Proportional to 1,634.40, 2,451.31 and 464.29

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Solution

The fourth proportional to 1,634.40, 2,451.31 and 464.29 is: 696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.40 : 2,451.31 = 464.29 : x
  2. Step 2: Convert to fraction form
    1,634.40/2,451.31 = 464.29/x
  3. Step 3: Cross multiply
    1,634.40x = 2,451.31 × 464.29
  4. Step 4: Simplify right side
    1,634.40x = 1,138,118.72
  5. Step 5: Solve for x
    x = 1,138,118.72/1,634.40
  6. Step 6: Final answer
    x = 696.35

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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.