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Finding the Fourth Proportional to 822.32, 1,134.77 and 449.30

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Solution

The fourth proportional to 822.32, 1,134.77 and 449.30 is: 620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.32 : 1,134.77 = 449.30 : x
  2. Step 2: Convert to fraction form
    822.32/1,134.77 = 449.30/x
  3. Step 3: Cross multiply
    822.32x = 1,134.77 × 449.30
  4. Step 4: Simplify right side
    822.32x = 509,853.15
  5. Step 5: Solve for x
    x = 509,853.15/822.32
  6. Step 6: Final answer
    x = 620.02

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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.