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Finding the Fourth Proportional to 668.48, 922.41 and 419.78

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Solution

The fourth proportional to 668.48, 922.41 and 419.78 is: 579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.48 : 922.41 = 419.78 : x
  2. Step 2: Convert to fraction form
    668.48/922.41 = 419.78/x
  3. Step 3: Cross multiply
    668.48x = 922.41 × 419.78
  4. Step 4: Simplify right side
    668.48x = 387,211.58
  5. Step 5: Solve for x
    x = 387,211.58/668.48
  6. Step 6: Final answer
    x = 579.25

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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.