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Finding the Fourth Proportional to 622.89, 935.94 and 469.80

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Solution

The fourth proportional to 622.89, 935.94 and 469.80 is: 705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.89 : 935.94 = 469.80 : x
  2. Step 2: Convert to fraction form
    622.89/935.94 = 469.80/x
  3. Step 3: Cross multiply
    622.89x = 935.94 × 469.80
  4. Step 4: Simplify right side
    622.89x = 439,704.61
  5. Step 5: Solve for x
    x = 439,704.61/622.89
  6. Step 6: Final answer
    x = 705.91

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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.