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Finding the Fourth Proportional to 796.19, 1,099.10 and 464.49

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Solution

The fourth proportional to 796.19, 1,099.10 and 464.49 is: 641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.19 : 1,099.10 = 464.49 : x
  2. Step 2: Convert to fraction form
    796.19/1,099.10 = 464.49/x
  3. Step 3: Cross multiply
    796.19x = 1,099.10 × 464.49
  4. Step 4: Simplify right side
    796.19x = 510,522.12
  5. Step 5: Solve for x
    x = 510,522.12/796.19
  6. Step 6: Final answer
    x = 641.21

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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.