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Finding the Fourth Proportional to 667.92, 922.28 and 419.36

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Solution

The fourth proportional to 667.92, 922.28 and 419.36 is: 579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.92 : 922.28 = 419.36 : x
  2. Step 2: Convert to fraction form
    667.92/922.28 = 419.36/x
  3. Step 3: Cross multiply
    667.92x = 922.28 × 419.36
  4. Step 4: Simplify right side
    667.92x = 386,767.34
  5. Step 5: Solve for x
    x = 386,767.34/667.92
  6. Step 6: Final answer
    x = 579.06

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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.