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Finding the Fourth Proportional to 668.06, 922.30 and 447.74

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Solution

The fourth proportional to 668.06, 922.30 and 447.74 is: 618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.06 : 922.30 = 447.74 : x
  2. Step 2: Convert to fraction form
    668.06/922.30 = 447.74/x
  3. Step 3: Cross multiply
    668.06x = 922.30 × 447.74
  4. Step 4: Simplify right side
    668.06x = 412,950.60
  5. Step 5: Solve for x
    x = 412,950.60/668.06
  6. Step 6: Final answer
    x = 618.13

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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.