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Finding the Fourth Proportional to 668.81, 922.96 and 374.08

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Solution

The fourth proportional to 668.81, 922.96 and 374.08 is: 516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.81 : 922.96 = 374.08 : x
  2. Step 2: Convert to fraction form
    668.81/922.96 = 374.08/x
  3. Step 3: Cross multiply
    668.81x = 922.96 × 374.08
  4. Step 4: Simplify right side
    668.81x = 345,260.77
  5. Step 5: Solve for x
    x = 345,260.77/668.81
  6. Step 6: Final answer
    x = 516.23

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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.