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Finding the Fourth Proportional to 1,107.64, 1,661.37 and 285.91

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Solution

The fourth proportional to 1,107.64, 1,661.37 and 285.91 is: 428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.64 : 1,661.37 = 285.91 : x
  2. Step 2: Convert to fraction form
    1,107.64/1,661.37 = 285.91/x
  3. Step 3: Cross multiply
    1,107.64x = 1,661.37 × 285.91
  4. Step 4: Simplify right side
    1,107.64x = 475,002.30
  5. Step 5: Solve for x
    x = 475,002.30/1,107.64
  6. Step 6: Final answer
    x = 428.84

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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.