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Finding the Fourth Proportional to 1,027.94, 1,418.55 and 562.19

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Solution

The fourth proportional to 1,027.94, 1,418.55 and 562.19 is: 775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.94 : 1,418.55 = 562.19 : x
  2. Step 2: Convert to fraction form
    1,027.94/1,418.55 = 562.19/x
  3. Step 3: Cross multiply
    1,027.94x = 1,418.55 × 562.19
  4. Step 4: Simplify right side
    1,027.94x = 797,494.62
  5. Step 5: Solve for x
    x = 797,494.62/1,027.94
  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.