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Finding the Fourth Proportional to 701.64, 968.32 and 421.87

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Solution

The fourth proportional to 701.64, 968.32 and 421.87 is: 582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.64 : 968.32 = 421.87 : x
  2. Step 2: Convert to fraction form
    701.64/968.32 = 421.87/x
  3. Step 3: Cross multiply
    701.64x = 968.32 × 421.87
  4. Step 4: Simplify right side
    701.64x = 408,505.16
  5. Step 5: Solve for x
    x = 408,505.16/701.64
  6. Step 6: Final answer
    x = 582.21

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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.