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Finding the Fourth Proportional to 1,092.74, 1,639.95 and 400.06

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Solution

The fourth proportional to 1,092.74, 1,639.95 and 400.06 is: 600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.74 : 1,639.95 = 400.06 : x
  2. Step 2: Convert to fraction form
    1,092.74/1,639.95 = 400.06/x
  3. Step 3: Cross multiply
    1,092.74x = 1,639.95 × 400.06
  4. Step 4: Simplify right side
    1,092.74x = 656,083.56
  5. Step 5: Solve for x
    x = 656,083.56/1,092.74
  6. Step 6: Final answer
    x = 600.40

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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.