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Finding the Fourth Proportional to 860.83, 1,291.43 and 449.86

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Solution

The fourth proportional to 860.83, 1,291.43 and 449.86 is: 674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.83 : 1,291.43 = 449.86 : x
  2. Step 2: Convert to fraction form
    860.83/1,291.43 = 449.86/x
  3. Step 3: Cross multiply
    860.83x = 1,291.43 × 449.86
  4. Step 4: Simplify right side
    860.83x = 580,958.63
  5. Step 5: Solve for x
    x = 580,958.63/860.83
  6. Step 6: Final answer
    x = 674.88

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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.