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Finding the Fourth Proportional to 620.47, 930.66 and 255.25

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Solution

The fourth proportional to 620.47, 930.66 and 255.25 is: 382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.47 : 930.66 = 255.25 : x
  2. Step 2: Convert to fraction form
    620.47/930.66 = 255.25/x
  3. Step 3: Cross multiply
    620.47x = 930.66 × 255.25
  4. Step 4: Simplify right side
    620.47x = 237,550.97
  5. Step 5: Solve for x
    x = 237,550.97/620.47
  6. Step 6: Final answer
    x = 382.86

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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.