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Finding the Fourth Proportional to 664.75, 917.40 and 468.73

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Solution

The fourth proportional to 664.75, 917.40 and 468.73 is: 646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.75 : 917.40 = 468.73 : x
  2. Step 2: Convert to fraction form
    664.75/917.40 = 468.73/x
  3. Step 3: Cross multiply
    664.75x = 917.40 × 468.73
  4. Step 4: Simplify right side
    664.75x = 430,012.90
  5. Step 5: Solve for x
    x = 430,012.90/664.75
  6. Step 6: Final answer
    x = 646.88

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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.