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Finding the Fourth Proportional to 708.71, 976.07 and 610.43

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Solution

The fourth proportional to 708.71, 976.07 and 610.43 is: 840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.71 : 976.07 = 610.43 : x
  2. Step 2: Convert to fraction form
    708.71/976.07 = 610.43/x
  3. Step 3: Cross multiply
    708.71x = 976.07 × 610.43
  4. Step 4: Simplify right side
    708.71x = 595,819.36
  5. Step 5: Solve for x
    x = 595,819.36/708.71
  6. Step 6: Final answer
    x = 840.71

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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.