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Finding the Fourth Proportional to 822.21, 1,134.39 and 559.77

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Solution

The fourth proportional to 822.21, 1,134.39 and 559.77 is: 772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.21 : 1,134.39 = 559.77 : x
  2. Step 2: Convert to fraction form
    822.21/1,134.39 = 559.77/x
  3. Step 3: Cross multiply
    822.21x = 1,134.39 × 559.77
  4. Step 4: Simplify right side
    822.21x = 634,997.49
  5. Step 5: Solve for x
    x = 634,997.49/822.21
  6. Step 6: Final answer
    x = 772.31

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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.