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Finding the Fourth Proportional to 664.32, 913.92 and 629.76

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Solution

The fourth proportional to 664.32, 913.92 and 629.76 is: 866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.32 : 913.92 = 629.76 : x
  2. Step 2: Convert to fraction form
    664.32/913.92 = 629.76/x
  3. Step 3: Cross multiply
    664.32x = 913.92 × 629.76
  4. Step 4: Simplify right side
    664.32x = 575,550.26
  5. Step 5: Solve for x
    x = 575,550.26/664.32
  6. Step 6: Final answer
    x = 866.38

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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.