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Finding the Fourth Proportional to 681.16, 938.36 and 562.64

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Solution

The fourth proportional to 681.16, 938.36 and 562.64 is: 775.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.16 : 938.36 = 562.64 : x
  2. Step 2: Convert to fraction form
    681.16/938.36 = 562.64/x
  3. Step 3: Cross multiply
    681.16x = 938.36 × 562.64
  4. Step 4: Simplify right side
    681.16x = 527,958.87
  5. Step 5: Solve for x
    x = 527,958.87/681.16
  6. Step 6: Final answer
    x = 775.09

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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.