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Finding the Fourth Proportional to 920.92, 1,379.76 and 820.48

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Solution

The fourth proportional to 920.92, 1,379.76 and 820.48 is: 1,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.92 : 1,379.76 = 820.48 : x
  2. Step 2: Convert to fraction form
    920.92/1,379.76 = 820.48/x
  3. Step 3: Cross multiply
    920.92x = 1,379.76 × 820.48
  4. Step 4: Simplify right side
    920.92x = 1,132,065.48
  5. Step 5: Solve for x
    x = 1,132,065.48/920.92
  6. Step 6: Final answer
    x = 1,229.28

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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.