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Finding the Fourth Proportional to 682.45, 1,023.58 and 335.69

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Solution

The fourth proportional to 682.45, 1,023.58 and 335.69 is: 503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.45 : 1,023.58 = 335.69 : x
  2. Step 2: Convert to fraction form
    682.45/1,023.58 = 335.69/x
  3. Step 3: Cross multiply
    682.45x = 1,023.58 × 335.69
  4. Step 4: Simplify right side
    682.45x = 343,607.29
  5. Step 5: Solve for x
    x = 343,607.29/682.45
  6. Step 6: Final answer
    x = 503.49

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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.