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Finding the Fourth Proportional to 682.13, 939.29 and 666.80

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Solution

The fourth proportional to 682.13, 939.29 and 666.80 is: 918.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.13 : 939.29 = 666.80 : x
  2. Step 2: Convert to fraction form
    682.13/939.29 = 666.80/x
  3. Step 3: Cross multiply
    682.13x = 939.29 × 666.80
  4. Step 4: Simplify right side
    682.13x = 626,310.54
  5. Step 5: Solve for x
    x = 626,310.54/682.13
  6. Step 6: Final answer
    x = 918.18

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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.