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Finding the Fourth Proportional to 574.05, 792.32 and 377.58

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Solution

The fourth proportional to 574.05, 792.32 and 377.58 is: 521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.05 : 792.32 = 377.58 : x
  2. Step 2: Convert to fraction form
    574.05/792.32 = 377.58/x
  3. Step 3: Cross multiply
    574.05x = 792.32 × 377.58
  4. Step 4: Simplify right side
    574.05x = 299,162.30
  5. Step 5: Solve for x
    x = 299,162.30/574.05
  6. Step 6: Final answer
    x = 521.14

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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.