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Finding the Fourth Proportional to 1,107.68, 1,661.60 and 285.94

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Solution

The fourth proportional to 1,107.68, 1,661.60 and 285.94 is: 428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.68 : 1,661.60 = 285.94 : x
  2. Step 2: Convert to fraction form
    1,107.68/1,661.60 = 285.94/x
  3. Step 3: Cross multiply
    1,107.68x = 1,661.60 × 285.94
  4. Step 4: Simplify right side
    1,107.68x = 475,117.90
  5. Step 5: Solve for x
    x = 475,117.90/1,107.68
  6. Step 6: Final answer
    x = 428.93

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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.