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Finding the Fourth Proportional to 667.68, 921.90 and 406.05

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Solution

The fourth proportional to 667.68, 921.90 and 406.05 is: 560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.68 : 921.90 = 406.05 : x
  2. Step 2: Convert to fraction form
    667.68/921.90 = 406.05/x
  3. Step 3: Cross multiply
    667.68x = 921.90 × 406.05
  4. Step 4: Simplify right side
    667.68x = 374,337.50
  5. Step 5: Solve for x
    x = 374,337.50/667.68
  6. Step 6: Final answer
    x = 560.65

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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.