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Finding the Fourth Proportional to 667.68, 921.80 and 419.22

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Solution

The fourth proportional to 667.68, 921.80 and 419.22 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.68 : 921.80 = 419.22 : x
  2. Step 2: Convert to fraction form
    667.68/921.80 = 419.22/x
  3. Step 3: Cross multiply
    667.68x = 921.80 × 419.22
  4. Step 4: Simplify right side
    667.68x = 386,434.59
  5. Step 5: Solve for x
    x = 386,434.59/667.68
  6. Step 6: Final answer
    x = 578.77

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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.