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Finding the Fourth Proportional to 979.22, 1,469.46 and 687.32

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Solution

The fourth proportional to 979.22, 1,469.46 and 687.32 is: 1,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.22 : 1,469.46 = 687.32 : x
  2. Step 2: Convert to fraction form
    979.22/1,469.46 = 687.32/x
  3. Step 3: Cross multiply
    979.22x = 1,469.46 × 687.32
  4. Step 4: Simplify right side
    979.22x = 1,009,989.25
  5. Step 5: Solve for x
    x = 1,009,989.25/979.22
  6. Step 6: Final answer
    x = 1,031.42

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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.