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Finding the Fourth Proportional to 682.86, 1,025.20 and 405.73

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Solution

The fourth proportional to 682.86, 1,025.20 and 405.73 is: 609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.86 : 1,025.20 = 405.73 : x
  2. Step 2: Convert to fraction form
    682.86/1,025.20 = 405.73/x
  3. Step 3: Cross multiply
    682.86x = 1,025.20 × 405.73
  4. Step 4: Simplify right side
    682.86x = 415,950.82
  5. Step 5: Solve for x
    x = 415,950.82/682.86
  6. Step 6: Final answer
    x = 609.13

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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.