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Finding the Fourth Proportional to 574.38, 792.72 and 364.59

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Solution

The fourth proportional to 574.38, 792.72 and 364.59 is: 503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.38 : 792.72 = 364.59 : x
  2. Step 2: Convert to fraction form
    574.38/792.72 = 364.59/x
  3. Step 3: Cross multiply
    574.38x = 792.72 × 364.59
  4. Step 4: Simplify right side
    574.38x = 289,017.78
  5. Step 5: Solve for x
    x = 289,017.78/574.38
  6. Step 6: Final answer
    x = 503.18

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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.