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Finding the Fourth Proportional to 1,107.81, 1,654.61 and 1,005.75

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Solution

The fourth proportional to 1,107.81, 1,654.61 and 1,005.75 is: 1,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.81 : 1,654.61 = 1,005.75 : x
  2. Step 2: Convert to fraction form
    1,107.81/1,654.61 = 1,005.75/x
  3. Step 3: Cross multiply
    1,107.81x = 1,654.61 × 1,005.75
  4. Step 4: Simplify right side
    1,107.81x = 1,664,118.98
  5. Step 5: Solve for x
    x = 1,664,118.98/1,107.81
  6. Step 6: Final answer
    x = 1,502.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.