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Finding the Fourth Proportional to 686.46, 1,029.46 and 321.02

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Solution

The fourth proportional to 686.46, 1,029.46 and 321.02 is: 481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.46 : 1,029.46 = 321.02 : x
  2. Step 2: Convert to fraction form
    686.46/1,029.46 = 321.02/x
  3. Step 3: Cross multiply
    686.46x = 1,029.46 × 321.02
  4. Step 4: Simplify right side
    686.46x = 330,477.25
  5. Step 5: Solve for x
    x = 330,477.25/686.46
  6. Step 6: Final answer
    x = 481.42

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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.