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Finding the Fourth Proportional to 574.02, 792.63 and 399.78

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Solution

The fourth proportional to 574.02, 792.63 and 399.78 is: 552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.02 : 792.63 = 399.78 : x
  2. Step 2: Convert to fraction form
    574.02/792.63 = 399.78/x
  3. Step 3: Cross multiply
    574.02x = 792.63 × 399.78
  4. Step 4: Simplify right side
    574.02x = 316,877.62
  5. Step 5: Solve for x
    x = 316,877.62/574.02
  6. Step 6: Final answer
    x = 552.03

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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.