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Finding the Fourth Proportional to 605.13, 908.05 and 263.13

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Solution

The fourth proportional to 605.13, 908.05 and 263.13 is: 394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.13 : 908.05 = 263.13 : x
  2. Step 2: Convert to fraction form
    605.13/908.05 = 263.13/x
  3. Step 3: Cross multiply
    605.13x = 908.05 × 263.13
  4. Step 4: Simplify right side
    605.13x = 238,935.20
  5. Step 5: Solve for x
    x = 238,935.20/605.13
  6. Step 6: Final answer
    x = 394.85

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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.