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Finding the Fourth Proportional to 822.44, 1,134.86 and 490.74

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Solution

The fourth proportional to 822.44, 1,134.86 and 490.74 is: 677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.44 : 1,134.86 = 490.74 : x
  2. Step 2: Convert to fraction form
    822.44/1,134.86 = 490.74/x
  3. Step 3: Cross multiply
    822.44x = 1,134.86 × 490.74
  4. Step 4: Simplify right side
    822.44x = 556,921.20
  5. Step 5: Solve for x
    x = 556,921.20/822.44
  6. Step 6: Final answer
    x = 677.16

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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.