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Finding the Fourth Proportional to 773.17, 1,160.16 and 422.03

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Solution

The fourth proportional to 773.17, 1,160.16 and 422.03 is: 633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.17 : 1,160.16 = 422.03 : x
  2. Step 2: Convert to fraction form
    773.17/1,160.16 = 422.03/x
  3. Step 3: Cross multiply
    773.17x = 1,160.16 × 422.03
  4. Step 4: Simplify right side
    773.17x = 489,616.52
  5. Step 5: Solve for x
    x = 489,616.52/773.17
  6. Step 6: Final answer
    x = 633.26

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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.