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Finding the Fourth Proportional to 664.18, 917.49 and 631.78

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Solution

The fourth proportional to 664.18, 917.49 and 631.78 is: 872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.18 : 917.49 = 631.78 : x
  2. Step 2: Convert to fraction form
    664.18/917.49 = 631.78/x
  3. Step 3: Cross multiply
    664.18x = 917.49 × 631.78
  4. Step 4: Simplify right side
    664.18x = 579,651.83
  5. Step 5: Solve for x
    x = 579,651.83/664.18
  6. Step 6: Final answer
    x = 872.73

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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.