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Finding the Fourth Proportional to 620.28, 930.54 and 209.43

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Solution

The fourth proportional to 620.28, 930.54 and 209.43 is: 314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.28 : 930.54 = 209.43 : x
  2. Step 2: Convert to fraction form
    620.28/930.54 = 209.43/x
  3. Step 3: Cross multiply
    620.28x = 930.54 × 209.43
  4. Step 4: Simplify right side
    620.28x = 194,882.99
  5. Step 5: Solve for x
    x = 194,882.99/620.28
  6. Step 6: Final answer
    x = 314.19

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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.