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Finding the Fourth Proportional to 1,107.29, 1,660.93 and 285.56

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Solution

The fourth proportional to 1,107.29, 1,660.93 and 285.56 is: 428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.29 : 1,660.93 = 285.56 : x
  2. Step 2: Convert to fraction form
    1,107.29/1,660.93 = 285.56/x
  3. Step 3: Cross multiply
    1,107.29x = 1,660.93 × 285.56
  4. Step 4: Simplify right side
    1,107.29x = 474,301.40
  5. Step 5: Solve for x
    x = 474,301.40/1,107.29
  6. Step 6: Final answer
    x = 428.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.