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Finding the Fourth Proportional to 1,027.89, 1,418.45 and 579.89

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Solution

The fourth proportional to 1,027.89, 1,418.45 and 579.89 is: 800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.89 : 1,418.45 = 579.89 : x
  2. Step 2: Convert to fraction form
    1,027.89/1,418.45 = 579.89/x
  3. Step 3: Cross multiply
    1,027.89x = 1,418.45 × 579.89
  4. Step 4: Simplify right side
    1,027.89x = 822,542.07
  5. Step 5: Solve for x
    x = 822,542.07/1,027.89
  6. Step 6: Final answer
    x = 800.23

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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.