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Finding the Fourth Proportional to 696.56, 960.84 and 521.36

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Solution

The fourth proportional to 696.56, 960.84 and 521.36 is: 719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.56 : 960.84 = 521.36 : x
  2. Step 2: Convert to fraction form
    696.56/960.84 = 521.36/x
  3. Step 3: Cross multiply
    696.56x = 960.84 × 521.36
  4. Step 4: Simplify right side
    696.56x = 500,943.54
  5. Step 5: Solve for x
    x = 500,943.54/696.56
  6. Step 6: Final answer
    x = 719.17

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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.