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Finding the Fourth Proportional to 709.53, 976.77 and 610.71

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Solution

The fourth proportional to 709.53, 976.77 and 610.71 is: 840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.53 : 976.77 = 610.71 : x
  2. Step 2: Convert to fraction form
    709.53/976.77 = 610.71/x
  3. Step 3: Cross multiply
    709.53x = 976.77 × 610.71
  4. Step 4: Simplify right side
    709.53x = 596,523.21
  5. Step 5: Solve for x
    x = 596,523.21/709.53
  6. Step 6: Final answer
    x = 840.73

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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.