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Finding the Fourth Proportional to 696.87, 1,046.37 and 438.51

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Solution

The fourth proportional to 696.87, 1,046.37 and 438.51 is: 658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.87 : 1,046.37 = 438.51 : x
  2. Step 2: Convert to fraction form
    696.87/1,046.37 = 438.51/x
  3. Step 3: Cross multiply
    696.87x = 1,046.37 × 438.51
  4. Step 4: Simplify right side
    696.87x = 458,843.71
  5. Step 5: Solve for x
    x = 458,843.71/696.87
  6. Step 6: Final answer
    x = 658.44

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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.