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Finding the Fourth Proportional to 696.62, 1,046.01 and 462.69

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Solution

The fourth proportional to 696.62, 1,046.01 and 462.69 is: 694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.62 : 1,046.01 = 462.69 : x
  2. Step 2: Convert to fraction form
    696.62/1,046.01 = 462.69/x
  3. Step 3: Cross multiply
    696.62x = 1,046.01 × 462.69
  4. Step 4: Simplify right side
    696.62x = 483,978.37
  5. Step 5: Solve for x
    x = 483,978.37/696.62
  6. Step 6: Final answer
    x = 694.76

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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.