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Finding the Fourth Proportional to 664.85, 913.64 and 634.36

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Solution

The fourth proportional to 664.85, 913.64 and 634.36 is: 871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.85 : 913.64 = 634.36 : x
  2. Step 2: Convert to fraction form
    664.85/913.64 = 634.36/x
  3. Step 3: Cross multiply
    664.85x = 913.64 × 634.36
  4. Step 4: Simplify right side
    664.85x = 579,572.80
  5. Step 5: Solve for x
    x = 579,572.80/664.85
  6. Step 6: Final answer
    x = 871.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.