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Finding the Fourth Proportional to 703.61, 971.12 and 408.86

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Solution

The fourth proportional to 703.61, 971.12 and 408.86 is: 564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.61 : 971.12 = 408.86 : x
  2. Step 2: Convert to fraction form
    703.61/971.12 = 408.86/x
  3. Step 3: Cross multiply
    703.61x = 971.12 × 408.86
  4. Step 4: Simplify right side
    703.61x = 397,048.29
  5. Step 5: Solve for x
    x = 397,048.29/703.61
  6. Step 6: Final answer
    x = 564.31

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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.