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Finding the Fourth Proportional to 1,107.45, 1,661.17 and 528.57

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Solution

The fourth proportional to 1,107.45, 1,661.17 and 528.57 is: 792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.45 : 1,661.17 = 528.57 : x
  2. Step 2: Convert to fraction form
    1,107.45/1,661.17 = 528.57/x
  3. Step 3: Cross multiply
    1,107.45x = 1,661.17 × 528.57
  4. Step 4: Simplify right side
    1,107.45x = 878,044.63
  5. Step 5: Solve for x
    x = 878,044.63/1,107.45
  6. Step 6: Final answer
    x = 792.85

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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.