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Finding the Fourth Proportional to 905.11, 1,355.08 and 596.02

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Solution

The fourth proportional to 905.11, 1,355.08 and 596.02 is: 892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.11 : 1,355.08 = 596.02 : x
  2. Step 2: Convert to fraction form
    905.11/1,355.08 = 596.02/x
  3. Step 3: Cross multiply
    905.11x = 1,355.08 × 596.02
  4. Step 4: Simplify right side
    905.11x = 807,654.68
  5. Step 5: Solve for x
    x = 807,654.68/905.11
  6. Step 6: Final answer
    x = 892.33

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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.