Home / 1,741.31-2,611.97-442.78

Finding the Fourth Proportional to 1,741.31, 2,611.97 and 442.78

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Solution

The fourth proportional to 1,741.31, 2,611.97 and 442.78 is: 664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.31 : 2,611.97 = 442.78 : x
  2. Step 2: Convert to fraction form
    1,741.31/2,611.97 = 442.78/x
  3. Step 3: Cross multiply
    1,741.31x = 2,611.97 × 442.78
  4. Step 4: Simplify right side
    1,741.31x = 1,156,528.08
  5. Step 5: Solve for x
    x = 1,156,528.08/1,741.31
  6. Step 6: Final answer
    x = 664.17

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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.