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Finding the Fourth Proportional to 664.31, 917.31 and 488.27

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Solution

The fourth proportional to 664.31, 917.31 and 488.27 is: 674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.31 : 917.31 = 488.27 : x
  2. Step 2: Convert to fraction form
    664.31/917.31 = 488.27/x
  3. Step 3: Cross multiply
    664.31x = 917.31 × 488.27
  4. Step 4: Simplify right side
    664.31x = 447,894.95
  5. Step 5: Solve for x
    x = 447,894.95/664.31
  6. Step 6: Final answer
    x = 674.23

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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.