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Finding the Fourth Proportional to 820.02, 1,229.25 and 381.31

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Solution

The fourth proportional to 820.02, 1,229.25 and 381.31 is: 571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.02 : 1,229.25 = 381.31 : x
  2. Step 2: Convert to fraction form
    820.02/1,229.25 = 381.31/x
  3. Step 3: Cross multiply
    820.02x = 1,229.25 × 381.31
  4. Step 4: Simplify right side
    820.02x = 468,725.32
  5. Step 5: Solve for x
    x = 468,725.32/820.02
  6. Step 6: Final answer
    x = 571.60

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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.