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Finding the Fourth Proportional to 668.32, 922.19 and 406.29

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Solution

The fourth proportional to 668.32, 922.19 and 406.29 is: 560.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.32 : 922.19 = 406.29 : x
  2. Step 2: Convert to fraction form
    668.32/922.19 = 406.29/x
  3. Step 3: Cross multiply
    668.32x = 922.19 × 406.29
  4. Step 4: Simplify right side
    668.32x = 374,676.58
  5. Step 5: Solve for x
    x = 374,676.58/668.32
  6. Step 6: Final answer
    x = 560.62

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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.