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Finding the Fourth Proportional to 575.44, 793.83 and 354.31

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Solution

The fourth proportional to 575.44, 793.83 and 354.31 is: 488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.44 : 793.83 = 354.31 : x
  2. Step 2: Convert to fraction form
    575.44/793.83 = 354.31/x
  3. Step 3: Cross multiply
    575.44x = 793.83 × 354.31
  4. Step 4: Simplify right side
    575.44x = 281,261.91
  5. Step 5: Solve for x
    x = 281,261.91/575.44
  6. Step 6: Final answer
    x = 488.78

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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.