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Finding the Fourth Proportional to 682.49, 1,023.12 and 463.19

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Solution

The fourth proportional to 682.49, 1,023.12 and 463.19 is: 694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.49 : 1,023.12 = 463.19 : x
  2. Step 2: Convert to fraction form
    682.49/1,023.12 = 463.19/x
  3. Step 3: Cross multiply
    682.49x = 1,023.12 × 463.19
  4. Step 4: Simplify right side
    682.49x = 473,898.95
  5. Step 5: Solve for x
    x = 473,898.95/682.49
  6. Step 6: Final answer
    x = 694.37

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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.