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Finding the Fourth Proportional to 682.14, 1,021.98 and 316.28

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Solution

The fourth proportional to 682.14, 1,021.98 and 316.28 is: 473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.14 : 1,021.98 = 316.28 : x
  2. Step 2: Convert to fraction form
    682.14/1,021.98 = 316.28/x
  3. Step 3: Cross multiply
    682.14x = 1,021.98 × 316.28
  4. Step 4: Simplify right side
    682.14x = 323,231.83
  5. Step 5: Solve for x
    x = 323,231.83/682.14
  6. Step 6: Final answer
    x = 473.85

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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.