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Finding the Fourth Proportional to 1,144.37, 1,717.26 and 528.16

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Solution

The fourth proportional to 1,144.37, 1,717.26 and 528.16 is: 792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.37 : 1,717.26 = 528.16 : x
  2. Step 2: Convert to fraction form
    1,144.37/1,717.26 = 528.16/x
  3. Step 3: Cross multiply
    1,144.37x = 1,717.26 × 528.16
  4. Step 4: Simplify right side
    1,144.37x = 906,988.04
  5. Step 5: Solve for x
    x = 906,988.04/1,144.37
  6. Step 6: Final answer
    x = 792.57

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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.