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Finding the Fourth Proportional to 1,027.89, 1,543.37 and 821.85

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Solution

The fourth proportional to 1,027.89, 1,543.37 and 821.85 is: 1,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.89 : 1,543.37 = 821.85 : x
  2. Step 2: Convert to fraction form
    1,027.89/1,543.37 = 821.85/x
  3. Step 3: Cross multiply
    1,027.89x = 1,543.37 × 821.85
  4. Step 4: Simplify right side
    1,027.89x = 1,268,418.63
  5. Step 5: Solve for x
    x = 1,268,418.63/1,027.89
  6. Step 6: Final answer
    x = 1,234.00

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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.