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Finding the Fourth Proportional to 685.25, 1,023.44 and 620.11

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Solution

The fourth proportional to 685.25, 1,023.44 and 620.11 is: 926.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.25 : 1,023.44 = 620.11 : x
  2. Step 2: Convert to fraction form
    685.25/1,023.44 = 620.11/x
  3. Step 3: Cross multiply
    685.25x = 1,023.44 × 620.11
  4. Step 4: Simplify right side
    685.25x = 634,645.38
  5. Step 5: Solve for x
    x = 634,645.38/685.25
  6. Step 6: Final answer
    x = 926.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.