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Finding the Fourth Proportional to 667.43, 921.39 and 419.11

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Solution

The fourth proportional to 667.43, 921.39 and 419.11 is: 578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.43 : 921.39 = 419.11 : x
  2. Step 2: Convert to fraction form
    667.43/921.39 = 419.11/x
  3. Step 3: Cross multiply
    667.43x = 921.39 × 419.11
  4. Step 4: Simplify right side
    667.43x = 386,163.76
  5. Step 5: Solve for x
    x = 386,163.76/667.43
  6. Step 6: Final answer
    x = 578.58

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1.5x scale

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.