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Finding the Fourth Proportional to 698.17, 960.91 and 511.36

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Solution

The fourth proportional to 698.17, 960.91 and 511.36 is: 703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.17 : 960.91 = 511.36 : x
  2. Step 2: Convert to fraction form
    698.17/960.91 = 511.36/x
  3. Step 3: Cross multiply
    698.17x = 960.91 × 511.36
  4. Step 4: Simplify right side
    698.17x = 491,375.54
  5. Step 5: Solve for x
    x = 491,375.54/698.17
  6. Step 6: Final answer
    x = 703.81

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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.