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Finding the Fourth Proportional to 681.06, 939.49 and 431.95

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Solution

The fourth proportional to 681.06, 939.49 and 431.95 is: 595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.06 : 939.49 = 431.95 : x
  2. Step 2: Convert to fraction form
    681.06/939.49 = 431.95/x
  3. Step 3: Cross multiply
    681.06x = 939.49 × 431.95
  4. Step 4: Simplify right side
    681.06x = 405,812.71
  5. Step 5: Solve for x
    x = 405,812.71/681.06
  6. Step 6: Final answer
    x = 595.85

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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.