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Finding the Fourth Proportional to 622.74, 934.68 and 314.81

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Solution

The fourth proportional to 622.74, 934.68 and 314.81 is: 472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.74 : 934.68 = 314.81 : x
  2. Step 2: Convert to fraction form
    622.74/934.68 = 314.81/x
  3. Step 3: Cross multiply
    622.74x = 934.68 × 314.81
  4. Step 4: Simplify right side
    622.74x = 294,244.42
  5. Step 5: Solve for x
    x = 294,244.42/622.74
  6. Step 6: Final answer
    x = 472.50

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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.