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Finding the Fourth Proportional to 1,082.82, 1,623.64 and 342.29

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Solution

The fourth proportional to 1,082.82, 1,623.64 and 342.29 is: 513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.82 : 1,623.64 = 342.29 : x
  2. Step 2: Convert to fraction form
    1,082.82/1,623.64 = 342.29/x
  3. Step 3: Cross multiply
    1,082.82x = 1,623.64 × 342.29
  4. Step 4: Simplify right side
    1,082.82x = 555,755.74
  5. Step 5: Solve for x
    x = 555,755.74/1,082.82
  6. Step 6: Final answer
    x = 513.25

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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.