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Finding the Fourth Proportional to 708.62, 971.44 and 697.28

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Solution

The fourth proportional to 708.62, 971.44 and 697.28 is: 955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.62 : 971.44 = 697.28 : x
  2. Step 2: Convert to fraction form
    708.62/971.44 = 697.28/x
  3. Step 3: Cross multiply
    708.62x = 971.44 × 697.28
  4. Step 4: Simplify right side
    708.62x = 677,365.68
  5. Step 5: Solve for x
    x = 677,365.68/708.62
  6. Step 6: Final answer
    x = 955.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.