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Finding the Fourth Proportional to 822.45, 1,134.99 and 449.41

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Solution

The fourth proportional to 822.45, 1,134.99 and 449.41 is: 620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.45 : 1,134.99 = 449.41 : x
  2. Step 2: Convert to fraction form
    822.45/1,134.99 = 449.41/x
  3. Step 3: Cross multiply
    822.45x = 1,134.99 × 449.41
  4. Step 4: Simplify right side
    822.45x = 510,070.18
  5. Step 5: Solve for x
    x = 510,070.18/822.45
  6. Step 6: Final answer
    x = 620.18

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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.