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Finding the Fourth Proportional to 682.42, 1,023.63 and 287.04

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Solution

The fourth proportional to 682.42, 1,023.63 and 287.04 is: 430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.42 : 1,023.63 = 287.04 : x
  2. Step 2: Convert to fraction form
    682.42/1,023.63 = 287.04/x
  3. Step 3: Cross multiply
    682.42x = 1,023.63 × 287.04
  4. Step 4: Simplify right side
    682.42x = 293,822.76
  5. Step 5: Solve for x
    x = 293,822.76/682.42
  6. Step 6: Final answer
    x = 430.56

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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.