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Finding the Fourth Proportional to 622.62, 933.93 and 361.80

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Solution

The fourth proportional to 622.62, 933.93 and 361.80 is: 542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.62 : 933.93 = 361.80 : x
  2. Step 2: Convert to fraction form
    622.62/933.93 = 361.80/x
  3. Step 3: Cross multiply
    622.62x = 933.93 × 361.80
  4. Step 4: Simplify right side
    622.62x = 337,895.87
  5. Step 5: Solve for x
    x = 337,895.87/622.62
  6. Step 6: Final answer
    x = 542.70

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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.