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Finding the Fourth Proportional to 820.09, 1,228.06 and 623.94

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Solution

The fourth proportional to 820.09, 1,228.06 and 623.94 is: 934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.09 : 1,228.06 = 623.94 : x
  2. Step 2: Convert to fraction form
    820.09/1,228.06 = 623.94/x
  3. Step 3: Cross multiply
    820.09x = 1,228.06 × 623.94
  4. Step 4: Simplify right side
    820.09x = 766,231.93
  5. Step 5: Solve for x
    x = 766,231.93/820.09
  6. Step 6: Final answer
    x = 934.33

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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.