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Finding the Fourth Proportional to 1,027.97, 1,418.48 and 579.76

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Solution

The fourth proportional to 1,027.97, 1,418.48 and 579.76 is: 800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.97 : 1,418.48 = 579.76 : x
  2. Step 2: Convert to fraction form
    1,027.97/1,418.48 = 579.76/x
  3. Step 3: Cross multiply
    1,027.97x = 1,418.48 × 579.76
  4. Step 4: Simplify right side
    1,027.97x = 822,377.96
  5. Step 5: Solve for x
    x = 822,377.96/1,027.97
  6. Step 6: Final answer
    x = 800.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.