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Finding the Fourth Proportional to 1,027.96, 1,418.56 and 562.20

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Solution

The fourth proportional to 1,027.96, 1,418.56 and 562.20 is: 775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.96 : 1,418.56 = 562.20 : x
  2. Step 2: Convert to fraction form
    1,027.96/1,418.56 = 562.20/x
  3. Step 3: Cross multiply
    1,027.96x = 1,418.56 × 562.20
  4. Step 4: Simplify right side
    1,027.96x = 797,514.43
  5. Step 5: Solve for x
    x = 797,514.43/1,027.96
  6. Step 6: Final answer
    x = 775.82

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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.