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Finding the Fourth Proportional to 796.05, 1,097.39 and 574.65

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Solution

The fourth proportional to 796.05, 1,097.39 and 574.65 is: 792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.05 : 1,097.39 = 574.65 : x
  2. Step 2: Convert to fraction form
    796.05/1,097.39 = 574.65/x
  3. Step 3: Cross multiply
    796.05x = 1,097.39 × 574.65
  4. Step 4: Simplify right side
    796.05x = 630,616.60
  5. Step 5: Solve for x
    x = 630,616.60/796.05
  6. Step 6: Final answer
    x = 792.18

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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.