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Finding the Fourth Proportional to 703.39, 971.01 and 408.61

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Solution

The fourth proportional to 703.39, 971.01 and 408.61 is: 564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.39 : 971.01 = 408.61 : x
  2. Step 2: Convert to fraction form
    703.39/971.01 = 408.61/x
  3. Step 3: Cross multiply
    703.39x = 971.01 × 408.61
  4. Step 4: Simplify right side
    703.39x = 396,764.40
  5. Step 5: Solve for x
    x = 396,764.40/703.39
  6. Step 6: Final answer
    x = 564.07

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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.