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Finding the Fourth Proportional to 664.14, 1,001.26 and 628.86

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Solution

The fourth proportional to 664.14, 1,001.26 and 628.86 is: 948.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.14 : 1,001.26 = 628.86 : x
  2. Step 2: Convert to fraction form
    664.14/1,001.26 = 628.86/x
  3. Step 3: Cross multiply
    664.14x = 1,001.26 × 628.86
  4. Step 4: Simplify right side
    664.14x = 629,652.36
  5. Step 5: Solve for x
    x = 629,652.36/664.14
  6. Step 6: Final answer
    x = 948.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.