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Finding the Fourth Proportional to 622.82, 935.16 and 349.46

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Solution

The fourth proportional to 622.82, 935.16 and 349.46 is: 524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.82 : 935.16 = 349.46 : x
  2. Step 2: Convert to fraction form
    622.82/935.16 = 349.46/x
  3. Step 3: Cross multiply
    622.82x = 935.16 × 349.46
  4. Step 4: Simplify right side
    622.82x = 326,801.01
  5. Step 5: Solve for x
    x = 326,801.01/622.82
  6. Step 6: Final answer
    x = 524.71

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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.