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Finding the Fourth Proportional to 620.32, 930.23 and 295.46

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Solution

The fourth proportional to 620.32, 930.23 and 295.46 is: 443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.32 : 930.23 = 295.46 : x
  2. Step 2: Convert to fraction form
    620.32/930.23 = 295.46/x
  3. Step 3: Cross multiply
    620.32x = 930.23 × 295.46
  4. Step 4: Simplify right side
    620.32x = 274,843.43
  5. Step 5: Solve for x
    x = 274,843.43/620.32
  6. Step 6: Final answer
    x = 443.07

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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.