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Finding the Fourth Proportional to 665.87, 918.65 and 664.84

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Solution

The fourth proportional to 665.87, 918.65 and 664.84 is: 917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.87 : 918.65 = 664.84 : x
  2. Step 2: Convert to fraction form
    665.87/918.65 = 664.84/x
  3. Step 3: Cross multiply
    665.87x = 918.65 × 664.84
  4. Step 4: Simplify right side
    665.87x = 610,755.27
  5. Step 5: Solve for x
    x = 610,755.27/665.87
  6. Step 6: Final answer
    x = 917.23

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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.