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Finding the Fourth Proportional to 633.17, 943.99 and 617.21

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Solution

The fourth proportional to 633.17, 943.99 and 617.21 is: 920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.17 : 943.99 = 617.21 : x
  2. Step 2: Convert to fraction form
    633.17/943.99 = 617.21/x
  3. Step 3: Cross multiply
    633.17x = 943.99 × 617.21
  4. Step 4: Simplify right side
    633.17x = 582,640.07
  5. Step 5: Solve for x
    x = 582,640.07/633.17
  6. Step 6: Final answer
    x = 920.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.