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Finding the Fourth Proportional to 1,027.84, 1,418.42 and 562.09

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Solution

The fourth proportional to 1,027.84, 1,418.42 and 562.09 is: 775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.84 : 1,418.42 = 562.09 : x
  2. Step 2: Convert to fraction form
    1,027.84/1,418.42 = 562.09/x
  3. Step 3: Cross multiply
    1,027.84x = 1,418.42 × 562.09
  4. Step 4: Simplify right side
    1,027.84x = 797,279.70
  5. Step 5: Solve for x
    x = 797,279.70/1,027.84
  6. Step 6: Final answer
    x = 775.68

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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.