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Finding the Fourth Proportional to 682.11, 1,023.45 and 462.98

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Solution

The fourth proportional to 682.11, 1,023.45 and 462.98 is: 694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.11 : 1,023.45 = 462.98 : x
  2. Step 2: Convert to fraction form
    682.11/1,023.45 = 462.98/x
  3. Step 3: Cross multiply
    682.11x = 1,023.45 × 462.98
  4. Step 4: Simplify right side
    682.11x = 473,836.88
  5. Step 5: Solve for x
    x = 473,836.88/682.11
  6. Step 6: Final answer
    x = 694.66

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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.