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Finding the Fourth Proportional to 574.65, 792.66 and 375.81

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Solution

The fourth proportional to 574.65, 792.66 and 375.81 is: 518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.65 : 792.66 = 375.81 : x
  2. Step 2: Convert to fraction form
    574.65/792.66 = 375.81/x
  3. Step 3: Cross multiply
    574.65x = 792.66 × 375.81
  4. Step 4: Simplify right side
    574.65x = 297,889.55
  5. Step 5: Solve for x
    x = 297,889.55/574.65
  6. Step 6: Final answer
    x = 518.38

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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.