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Finding the Fourth Proportional to 1,144.50, 1,717.45 and 528.29

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Solution

The fourth proportional to 1,144.50, 1,717.45 and 528.29 is: 792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.50 : 1,717.45 = 528.29 : x
  2. Step 2: Convert to fraction form
    1,144.50/1,717.45 = 528.29/x
  3. Step 3: Cross multiply
    1,144.50x = 1,717.45 × 528.29
  4. Step 4: Simplify right side
    1,144.50x = 907,311.66
  5. Step 5: Solve for x
    x = 907,311.66/1,144.50
  6. Step 6: Final answer
    x = 792.76

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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.