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Finding the Fourth Proportional to 622.09, 932.46 and 313.75

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Solution

The fourth proportional to 622.09, 932.46 and 313.75 is: 470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.09 : 932.46 = 313.75 : x
  2. Step 2: Convert to fraction form
    622.09/932.46 = 313.75/x
  3. Step 3: Cross multiply
    622.09x = 932.46 × 313.75
  4. Step 4: Simplify right side
    622.09x = 292,559.33
  5. Step 5: Solve for x
    x = 292,559.33/622.09
  6. Step 6: Final answer
    x = 470.28

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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.