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Finding the Fourth Proportional to 622.82, 933.38 and 314.89

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Solution

The fourth proportional to 622.82, 933.38 and 314.89 is: 471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.82 : 933.38 = 314.89 : x
  2. Step 2: Convert to fraction form
    622.82/933.38 = 314.89/x
  3. Step 3: Cross multiply
    622.82x = 933.38 × 314.89
  4. Step 4: Simplify right side
    622.82x = 293,910.48
  5. Step 5: Solve for x
    x = 293,910.48/622.82
  6. Step 6: Final answer
    x = 471.91

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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.