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Finding the Fourth Proportional to 1,107.54, 1,661.29 and 285.74

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Solution

The fourth proportional to 1,107.54, 1,661.29 and 285.74 is: 428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.54 : 1,661.29 = 285.74 : x
  2. Step 2: Convert to fraction form
    1,107.54/1,661.29 = 285.74/x
  3. Step 3: Cross multiply
    1,107.54x = 1,661.29 × 285.74
  4. Step 4: Simplify right side
    1,107.54x = 474,705.17
  5. Step 5: Solve for x
    x = 474,705.17/1,107.54
  6. Step 6: Final answer
    x = 428.61

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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.