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Finding the Fourth Proportional to 1,107.81, 1,528.97 and 665.73

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Solution

The fourth proportional to 1,107.81, 1,528.97 and 665.73 is: 918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.81 : 1,528.97 = 665.73 : x
  2. Step 2: Convert to fraction form
    1,107.81/1,528.97 = 665.73/x
  3. Step 3: Cross multiply
    1,107.81x = 1,528.97 × 665.73
  4. Step 4: Simplify right side
    1,107.81x = 1,017,877.87
  5. Step 5: Solve for x
    x = 1,017,877.87/1,107.81
  6. Step 6: Final answer
    x = 918.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.