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Finding the Fourth Proportional to 664.02, 913.95 and 634.86

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Solution

The fourth proportional to 664.02, 913.95 and 634.86 is: 873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.02 : 913.95 = 634.86 : x
  2. Step 2: Convert to fraction form
    664.02/913.95 = 634.86/x
  3. Step 3: Cross multiply
    664.02x = 913.95 × 634.86
  4. Step 4: Simplify right side
    664.02x = 580,230.30
  5. Step 5: Solve for x
    x = 580,230.30/664.02
  6. Step 6: Final answer
    x = 873.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.