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Finding the Fourth Proportional to 622.25, 933.98 and 474.62

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Solution

The fourth proportional to 622.25, 933.98 and 474.62 is: 712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.25 : 933.98 = 474.62 : x
  2. Step 2: Convert to fraction form
    622.25/933.98 = 474.62/x
  3. Step 3: Cross multiply
    622.25x = 933.98 × 474.62
  4. Step 4: Simplify right side
    622.25x = 443,278.54
  5. Step 5: Solve for x
    x = 443,278.54/622.25
  6. Step 6: Final answer
    x = 712.39

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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.