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Finding the Fourth Proportional to 664.36, 917.24 and 428.42

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Solution

The fourth proportional to 664.36, 917.24 and 428.42 is: 591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.36 : 917.24 = 428.42 : x
  2. Step 2: Convert to fraction form
    664.36/917.24 = 428.42/x
  3. Step 3: Cross multiply
    664.36x = 917.24 × 428.42
  4. Step 4: Simplify right side
    664.36x = 392,963.96
  5. Step 5: Solve for x
    x = 392,963.96/664.36
  6. Step 6: Final answer
    x = 591.49

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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.