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Finding the Fourth Proportional to 622.21, 932.78 and 313.81

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Solution

The fourth proportional to 622.21, 932.78 and 313.81 is: 470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.21 : 932.78 = 313.81 : x
  2. Step 2: Convert to fraction form
    622.21/932.78 = 313.81/x
  3. Step 3: Cross multiply
    622.21x = 932.78 × 313.81
  4. Step 4: Simplify right side
    622.21x = 292,709.46
  5. Step 5: Solve for x
    x = 292,709.46/622.21
  6. Step 6: Final answer
    x = 470.44

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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.