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Finding the Fourth Proportional to 574.55, 792.61 and 338.50

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Solution

The fourth proportional to 574.55, 792.61 and 338.50 is: 466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.55 : 792.61 = 338.50 : x
  2. Step 2: Convert to fraction form
    574.55/792.61 = 338.50/x
  3. Step 3: Cross multiply
    574.55x = 792.61 × 338.50
  4. Step 4: Simplify right side
    574.55x = 268,298.49
  5. Step 5: Solve for x
    x = 268,298.49/574.55
  6. Step 6: Final answer
    x = 466.97

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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.