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Finding the Fourth Proportional to 1,082.52, 1,624.01 and 342.12

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Solution

The fourth proportional to 1,082.52, 1,624.01 and 342.12 is: 513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.52 : 1,624.01 = 342.12 : x
  2. Step 2: Convert to fraction form
    1,082.52/1,624.01 = 342.12/x
  3. Step 3: Cross multiply
    1,082.52x = 1,624.01 × 342.12
  4. Step 4: Simplify right side
    1,082.52x = 555,606.30
  5. Step 5: Solve for x
    x = 555,606.30/1,082.52
  6. Step 6: Final answer
    x = 513.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.