Home / 1,634.07-2,449.58-811.57

Finding the Fourth Proportional to 1,634.07, 2,449.58 and 811.57

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Solution

The fourth proportional to 1,634.07, 2,449.58 and 811.57 is: 1,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.07 : 2,449.58 = 811.57 : x
  2. Step 2: Convert to fraction form
    1,634.07/2,449.58 = 811.57/x
  3. Step 3: Cross multiply
    1,634.07x = 2,449.58 × 811.57
  4. Step 4: Simplify right side
    1,634.07x = 1,988,000.05
  5. Step 5: Solve for x
    x = 1,988,000.05/1,634.07
  6. Step 6: Final answer
    x = 1,216.59

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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.