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Finding the Fourth Proportional to 668.53, 922.26 and 419.72

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Solution

The fourth proportional to 668.53, 922.26 and 419.72 is: 579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.53 : 922.26 = 419.72 : x
  2. Step 2: Convert to fraction form
    668.53/922.26 = 419.72/x
  3. Step 3: Cross multiply
    668.53x = 922.26 × 419.72
  4. Step 4: Simplify right side
    668.53x = 387,090.97
  5. Step 5: Solve for x
    x = 387,090.97/668.53
  6. Step 6: Final answer
    x = 579.02

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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.