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Finding the Fourth Proportional to 1,338.59, 1,847.18 and 741.05

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Solution

The fourth proportional to 1,338.59, 1,847.18 and 741.05 is: 1,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.59 : 1,847.18 = 741.05 : x
  2. Step 2: Convert to fraction form
    1,338.59/1,847.18 = 741.05/x
  3. Step 3: Cross multiply
    1,338.59x = 1,847.18 × 741.05
  4. Step 4: Simplify right side
    1,338.59x = 1,368,844.42
  5. Step 5: Solve for x
    x = 1,368,844.42/1,338.59
  6. Step 6: Final answer
    x = 1,022.60

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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.