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Finding the Fourth Proportional to 668.57, 922.64 and 447.82

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Solution

The fourth proportional to 668.57, 922.64 and 447.82 is: 618.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.57 : 922.64 = 447.82 : x
  2. Step 2: Convert to fraction form
    668.57/922.64 = 447.82/x
  3. Step 3: Cross multiply
    668.57x = 922.64 × 447.82
  4. Step 4: Simplify right side
    668.57x = 413,179.16
  5. Step 5: Solve for x
    x = 413,179.16/668.57
  6. Step 6: Final answer
    x = 618.00

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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.