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Finding the Fourth Proportional to 1,333.41, 1,839.96 and 809.52

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Solution

The fourth proportional to 1,333.41, 1,839.96 and 809.52 is: 1,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.41 : 1,839.96 = 809.52 : x
  2. Step 2: Convert to fraction form
    1,333.41/1,839.96 = 809.52/x
  3. Step 3: Cross multiply
    1,333.41x = 1,839.96 × 809.52
  4. Step 4: Simplify right side
    1,333.41x = 1,489,484.42
  5. Step 5: Solve for x
    x = 1,489,484.42/1,333.41
  6. Step 6: Final answer
    x = 1,117.05

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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.