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Finding the Fourth Proportional to 796.40, 1,099.08 and 464.81

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Solution

The fourth proportional to 796.40, 1,099.08 and 464.81 is: 641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.40 : 1,099.08 = 464.81 : x
  2. Step 2: Convert to fraction form
    796.40/1,099.08 = 464.81/x
  3. Step 3: Cross multiply
    796.40x = 1,099.08 × 464.81
  4. Step 4: Simplify right side
    796.40x = 510,863.37
  5. Step 5: Solve for x
    x = 510,863.37/796.40
  6. Step 6: Final answer
    x = 641.47

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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.