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Finding the Fourth Proportional to 1,409.00, 1,943.55 and 849.11

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Solution

The fourth proportional to 1,409.00, 1,943.55 and 849.11 is: 1,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.00 : 1,943.55 = 849.11 : x
  2. Step 2: Convert to fraction form
    1,409.00/1,943.55 = 849.11/x
  3. Step 3: Cross multiply
    1,409.00x = 1,943.55 × 849.11
  4. Step 4: Simplify right side
    1,409.00x = 1,650,278.02
  5. Step 5: Solve for x
    x = 1,650,278.02/1,409.00
  6. Step 6: Final answer
    x = 1,171.24

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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.