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Finding the Fourth Proportional to 620.09, 929.46 and 311.75

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Solution

The fourth proportional to 620.09, 929.46 and 311.75 is: 467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.09 : 929.46 = 311.75 : x
  2. Step 2: Convert to fraction form
    620.09/929.46 = 311.75/x
  3. Step 3: Cross multiply
    620.09x = 929.46 × 311.75
  4. Step 4: Simplify right side
    620.09x = 289,759.16
  5. Step 5: Solve for x
    x = 289,759.16/620.09
  6. Step 6: Final answer
    x = 467.29

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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.