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Finding the Fourth Proportional to 861.83, 1,292.93 and 450.86

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Solution

The fourth proportional to 861.83, 1,292.93 and 450.86 is: 676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.83 : 1,292.93 = 450.86 : x
  2. Step 2: Convert to fraction form
    861.83/1,292.93 = 450.86/x
  3. Step 3: Cross multiply
    861.83x = 1,292.93 × 450.86
  4. Step 4: Simplify right side
    861.83x = 582,930.42
  5. Step 5: Solve for x
    x = 582,930.42/861.83
  6. Step 6: Final answer
    x = 676.39

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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.