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Finding the Fourth Proportional to 1,338.50, 1,847.15 and 807.41

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Solution

The fourth proportional to 1,338.50, 1,847.15 and 807.41 is: 1,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.50 : 1,847.15 = 807.41 : x
  2. Step 2: Convert to fraction form
    1,338.50/1,847.15 = 807.41/x
  3. Step 3: Cross multiply
    1,338.50x = 1,847.15 × 807.41
  4. Step 4: Simplify right side
    1,338.50x = 1,491,394.11
  5. Step 5: Solve for x
    x = 1,491,394.11/1,338.50
  6. Step 6: Final answer
    x = 1,114.23

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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.