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Finding the Fourth Proportional to 696.44, 1,046.28 and 642.98

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Solution

The fourth proportional to 696.44, 1,046.28 and 642.98 is: 965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.44 : 1,046.28 = 642.98 : x
  2. Step 2: Convert to fraction form
    696.44/1,046.28 = 642.98/x
  3. Step 3: Cross multiply
    696.44x = 1,046.28 × 642.98
  4. Step 4: Simplify right side
    696.44x = 672,737.11
  5. Step 5: Solve for x
    x = 672,737.11/696.44
  6. Step 6: Final answer
    x = 965.97

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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.