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Finding the Fourth Proportional to 622.99, 934.21 and 314.79

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Solution

The fourth proportional to 622.99, 934.21 and 314.79 is: 472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.99 : 934.21 = 314.79 : x
  2. Step 2: Convert to fraction form
    622.99/934.21 = 314.79/x
  3. Step 3: Cross multiply
    622.99x = 934.21 × 314.79
  4. Step 4: Simplify right side
    622.99x = 294,079.97
  5. Step 5: Solve for x
    x = 294,079.97/622.99
  6. Step 6: Final answer
    x = 472.05

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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.