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Finding the Fourth Proportional to 610.82, 842.38 and 517.46

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Solution

The fourth proportional to 610.82, 842.38 and 517.46 is: 713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.82 : 842.38 = 517.46 : x
  2. Step 2: Convert to fraction form
    610.82/842.38 = 517.46/x
  3. Step 3: Cross multiply
    610.82x = 842.38 × 517.46
  4. Step 4: Simplify right side
    610.82x = 435,897.95
  5. Step 5: Solve for x
    x = 435,897.95/610.82
  6. Step 6: Final answer
    x = 713.63

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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.