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Finding the Fourth Proportional to 633.07, 944.81 and 616.66

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Solution

The fourth proportional to 633.07, 944.81 and 616.66 is: 920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.07 : 944.81 = 616.66 : x
  2. Step 2: Convert to fraction form
    633.07/944.81 = 616.66/x
  3. Step 3: Cross multiply
    633.07x = 944.81 × 616.66
  4. Step 4: Simplify right side
    633.07x = 582,626.53
  5. Step 5: Solve for x
    x = 582,626.53/633.07
  6. Step 6: Final answer
    x = 920.32

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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.