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Finding the Fourth Proportional to 1,072.81, 1,608.88 and 342.22

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Solution

The fourth proportional to 1,072.81, 1,608.88 and 342.22 is: 513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.81 : 1,608.88 = 342.22 : x
  2. Step 2: Convert to fraction form
    1,072.81/1,608.88 = 342.22/x
  3. Step 3: Cross multiply
    1,072.81x = 1,608.88 × 342.22
  4. Step 4: Simplify right side
    1,072.81x = 550,590.06
  5. Step 5: Solve for x
    x = 550,590.06/1,072.81
  6. Step 6: Final answer
    x = 513.22

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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.