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Finding the Fourth Proportional to 696.21, 1,042.17 and 521.85

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Solution

The fourth proportional to 696.21, 1,042.17 and 521.85 is: 781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.21 : 1,042.17 = 521.85 : x
  2. Step 2: Convert to fraction form
    696.21/1,042.17 = 521.85/x
  3. Step 3: Cross multiply
    696.21x = 1,042.17 × 521.85
  4. Step 4: Simplify right side
    696.21x = 543,856.41
  5. Step 5: Solve for x
    x = 543,856.41/696.21
  6. Step 6: Final answer
    x = 781.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.