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Finding the Fourth Proportional to 822.44, 1,134.44 and 553.71

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Solution

The fourth proportional to 822.44, 1,134.44 and 553.71 is: 763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.44 : 1,134.44 = 553.71 : x
  2. Step 2: Convert to fraction form
    822.44/1,134.44 = 553.71/x
  3. Step 3: Cross multiply
    822.44x = 1,134.44 × 553.71
  4. Step 4: Simplify right side
    822.44x = 628,154.33
  5. Step 5: Solve for x
    x = 628,154.33/822.44
  6. Step 6: Final answer
    x = 763.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.