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Finding the Fourth Proportional to 664.82, 918.57 and 477.94

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Solution

The fourth proportional to 664.82, 918.57 and 477.94 is: 660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.82 : 918.57 = 477.94 : x
  2. Step 2: Convert to fraction form
    664.82/918.57 = 477.94/x
  3. Step 3: Cross multiply
    664.82x = 918.57 × 477.94
  4. Step 4: Simplify right side
    664.82x = 439,022.56
  5. Step 5: Solve for x
    x = 439,022.56/664.82
  6. Step 6: Final answer
    x = 660.36

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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.