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Finding the Fourth Proportional to 701.53, 968.09 and 421.92

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Solution

The fourth proportional to 701.53, 968.09 and 421.92 is: 582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.53 : 968.09 = 421.92 : x
  2. Step 2: Convert to fraction form
    701.53/968.09 = 421.92/x
  3. Step 3: Cross multiply
    701.53x = 968.09 × 421.92
  4. Step 4: Simplify right side
    701.53x = 408,456.53
  5. Step 5: Solve for x
    x = 408,456.53/701.53
  6. Step 6: Final answer
    x = 582.24

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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.