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Finding the Fourth Proportional to 682.76, 1,023.32 and 486.71

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Solution

The fourth proportional to 682.76, 1,023.32 and 486.71 is: 729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.76 : 1,023.32 = 486.71 : x
  2. Step 2: Convert to fraction form
    682.76/1,023.32 = 486.71/x
  3. Step 3: Cross multiply
    682.76x = 1,023.32 × 486.71
  4. Step 4: Simplify right side
    682.76x = 498,057.28
  5. Step 5: Solve for x
    x = 498,057.28/682.76
  6. Step 6: Final answer
    x = 729.47

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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.