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Finding the Fourth Proportional to 634.86, 944.75 and 610.26

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Solution

The fourth proportional to 634.86, 944.75 and 610.26 is: 908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.86 : 944.75 = 610.26 : x
  2. Step 2: Convert to fraction form
    634.86/944.75 = 610.26/x
  3. Step 3: Cross multiply
    634.86x = 944.75 × 610.26
  4. Step 4: Simplify right side
    634.86x = 576,543.14
  5. Step 5: Solve for x
    x = 576,543.14/634.86
  6. Step 6: Final answer
    x = 908.14

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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.