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Finding the Fourth Proportional to 819.44, 1,129.24 and 524.19

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Solution

The fourth proportional to 819.44, 1,129.24 and 524.19 is: 722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.44 : 1,129.24 = 524.19 : x
  2. Step 2: Convert to fraction form
    819.44/1,129.24 = 524.19/x
  3. Step 3: Cross multiply
    819.44x = 1,129.24 × 524.19
  4. Step 4: Simplify right side
    819.44x = 591,936.32
  5. Step 5: Solve for x
    x = 591,936.32/819.44
  6. Step 6: Final answer
    x = 722.37

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.