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Finding the Fourth Proportional to 1,105.78, 1,659.08 and 528.26

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Solution

The fourth proportional to 1,105.78, 1,659.08 and 528.26 is: 792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.78 : 1,659.08 = 528.26 : x
  2. Step 2: Convert to fraction form
    1,105.78/1,659.08 = 528.26/x
  3. Step 3: Cross multiply
    1,105.78x = 1,659.08 × 528.26
  4. Step 4: Simplify right side
    1,105.78x = 876,425.60
  5. Step 5: Solve for x
    x = 876,425.60/1,105.78
  6. Step 6: Final answer
    x = 792.59

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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.