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Finding the Fourth Proportional to 820, 1,129.36 and 762.60

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Solution

The fourth proportional to 820, 1,129.36 and 762.60 is: 1,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    820 : 1,129.36 = 762.60 : x
  2. Step 2: Convert to fraction form
    820/1,129.36 = 762.60/x
  3. Step 3: Cross multiply
    820x = 1,129.36 × 762.60
  4. Step 4: Simplify right side
    820x = 861,249.94
  5. Step 5: Solve for x
    x = 861,249.94/820
  6. Step 6: Final answer
    x = 1,050.30

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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.