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Finding the Fourth Proportional to 696.70, 960.15 and 521.74

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Solution

The fourth proportional to 696.70, 960.15 and 521.74 is: 719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.70 : 960.15 = 521.74 : x
  2. Step 2: Convert to fraction form
    696.70/960.15 = 521.74/x
  3. Step 3: Cross multiply
    696.70x = 960.15 × 521.74
  4. Step 4: Simplify right side
    696.70x = 500,948.66
  5. Step 5: Solve for x
    x = 500,948.66/696.70
  6. Step 6: Final answer
    x = 719.03

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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.