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Finding the Fourth Proportional to 1,027.69, 1,418.21 and 561.94

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Solution

The fourth proportional to 1,027.69, 1,418.21 and 561.94 is: 775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.69 : 1,418.21 = 561.94 : x
  2. Step 2: Convert to fraction form
    1,027.69/1,418.21 = 561.94/x
  3. Step 3: Cross multiply
    1,027.69x = 1,418.21 × 561.94
  4. Step 4: Simplify right side
    1,027.69x = 796,944.68
  5. Step 5: Solve for x
    x = 796,944.68/1,027.69
  6. Step 6: Final answer
    x = 775.47

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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.