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Finding the Fourth Proportional to 664.76, 917.61 and 475.94

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Solution

The fourth proportional to 664.76, 917.61 and 475.94 is: 656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.76 : 917.61 = 475.94 : x
  2. Step 2: Convert to fraction form
    664.76/917.61 = 475.94/x
  3. Step 3: Cross multiply
    664.76x = 917.61 × 475.94
  4. Step 4: Simplify right side
    664.76x = 436,727.30
  5. Step 5: Solve for x
    x = 436,727.30/664.76
  6. Step 6: Final answer
    x = 656.97

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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.