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Finding the Fourth Proportional to 906.01, 1,355.37 and 616.84

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Solution

The fourth proportional to 906.01, 1,355.37 and 616.84 is: 922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.01 : 1,355.37 = 616.84 : x
  2. Step 2: Convert to fraction form
    906.01/1,355.37 = 616.84/x
  3. Step 3: Cross multiply
    906.01x = 1,355.37 × 616.84
  4. Step 4: Simplify right side
    906.01x = 836,046.43
  5. Step 5: Solve for x
    x = 836,046.43/906.01
  6. Step 6: Final answer
    x = 922.78

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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.