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Finding the Fourth Proportional to 1,082.00, 1,493.42 and 634.08

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Solution

The fourth proportional to 1,082.00, 1,493.42 and 634.08 is: 875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.00 : 1,493.42 = 634.08 : x
  2. Step 2: Convert to fraction form
    1,082.00/1,493.42 = 634.08/x
  3. Step 3: Cross multiply
    1,082.00x = 1,493.42 × 634.08
  4. Step 4: Simplify right side
    1,082.00x = 946,944.58
  5. Step 5: Solve for x
    x = 946,944.58/1,082.00
  6. Step 6: Final answer
    x = 875.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.