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Finding the Fourth Proportional to 1,072.68, 1,609.23 and 342.36

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Solution

The fourth proportional to 1,072.68, 1,609.23 and 342.36 is: 513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.68 : 1,609.23 = 342.36 : x
  2. Step 2: Convert to fraction form
    1,072.68/1,609.23 = 342.36/x
  3. Step 3: Cross multiply
    1,072.68x = 1,609.23 × 342.36
  4. Step 4: Simplify right side
    1,072.68x = 550,935.98
  5. Step 5: Solve for x
    x = 550,935.98/1,072.68
  6. Step 6: Final answer
    x = 513.61

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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.