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Finding the Fourth Proportional to 1,074.31, 1,611.70 and 343.89

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Solution

The fourth proportional to 1,074.31, 1,611.70 and 343.89 is: 515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.31 : 1,611.70 = 343.89 : x
  2. Step 2: Convert to fraction form
    1,074.31/1,611.70 = 343.89/x
  3. Step 3: Cross multiply
    1,074.31x = 1,611.70 × 343.89
  4. Step 4: Simplify right side
    1,074.31x = 554,246.65
  5. Step 5: Solve for x
    x = 554,246.65/1,074.31
  6. Step 6: Final answer
    x = 515.91

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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.