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Finding the Fourth Proportional to 820.14, 1,228.58 and 408.03

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Solution

The fourth proportional to 820.14, 1,228.58 and 408.03 is: 611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.14 : 1,228.58 = 408.03 : x
  2. Step 2: Convert to fraction form
    820.14/1,228.58 = 408.03/x
  3. Step 3: Cross multiply
    820.14x = 1,228.58 × 408.03
  4. Step 4: Simplify right side
    820.14x = 501,295.46
  5. Step 5: Solve for x
    x = 501,295.46/820.14
  6. Step 6: Final answer
    x = 611.23

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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.