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Finding the Fourth Proportional to 574.41, 792.69 and 312.42

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Solution

The fourth proportional to 574.41, 792.69 and 312.42 is: 431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.41 : 792.69 = 312.42 : x
  2. Step 2: Convert to fraction form
    574.41/792.69 = 312.42/x
  3. Step 3: Cross multiply
    574.41x = 792.69 × 312.42
  4. Step 4: Simplify right side
    574.41x = 247,652.21
  5. Step 5: Solve for x
    x = 247,652.21/574.41
  6. Step 6: Final answer
    x = 431.14

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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.