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Finding the Fourth Proportional to 703.60, 971.03 and 408.86

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Solution

The fourth proportional to 703.60, 971.03 and 408.86 is: 564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.60 : 971.03 = 408.86 : x
  2. Step 2: Convert to fraction form
    703.60/971.03 = 408.86/x
  3. Step 3: Cross multiply
    703.60x = 971.03 × 408.86
  4. Step 4: Simplify right side
    703.60x = 397,015.33
  5. Step 5: Solve for x
    x = 397,015.33/703.60
  6. Step 6: Final answer
    x = 564.26

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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.