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Finding the Fourth Proportional to 1,100.73, 1,651.39 and 398.01

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Solution

The fourth proportional to 1,100.73, 1,651.39 and 398.01 is: 597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.73 : 1,651.39 = 398.01 : x
  2. Step 2: Convert to fraction form
    1,100.73/1,651.39 = 398.01/x
  3. Step 3: Cross multiply
    1,100.73x = 1,651.39 × 398.01
  4. Step 4: Simplify right side
    1,100.73x = 657,269.73
  5. Step 5: Solve for x
    x = 657,269.73/1,100.73
  6. Step 6: Final answer
    x = 597.12

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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.