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Finding the Fourth Proportional to 681.23, 938.02 and 587.81

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Solution

The fourth proportional to 681.23, 938.02 and 587.81 is: 809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.23 : 938.02 = 587.81 : x
  2. Step 2: Convert to fraction form
    681.23/938.02 = 587.81/x
  3. Step 3: Cross multiply
    681.23x = 938.02 × 587.81
  4. Step 4: Simplify right side
    681.23x = 551,377.54
  5. Step 5: Solve for x
    x = 551,377.54/681.23
  6. Step 6: Final answer
    x = 809.39

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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.