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Finding the Fourth Proportional to 681.06, 934.85 and 605.74

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Solution

The fourth proportional to 681.06, 934.85 and 605.74 is: 831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.06 : 934.85 = 605.74 : x
  2. Step 2: Convert to fraction form
    681.06/934.85 = 605.74/x
  3. Step 3: Cross multiply
    681.06x = 934.85 × 605.74
  4. Step 4: Simplify right side
    681.06x = 566,276.04
  5. Step 5: Solve for x
    x = 566,276.04/681.06
  6. Step 6: Final answer
    x = 831.46

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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.