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Finding the Fourth Proportional to 622.94, 933.06 and 405.86

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Solution

The fourth proportional to 622.94, 933.06 and 405.86 is: 607.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.94 : 933.06 = 405.86 : x
  2. Step 2: Convert to fraction form
    622.94/933.06 = 405.86/x
  3. Step 3: Cross multiply
    622.94x = 933.06 × 405.86
  4. Step 4: Simplify right side
    622.94x = 378,691.73
  5. Step 5: Solve for x
    x = 378,691.73/622.94
  6. Step 6: Final answer
    x = 607.91

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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.