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Finding the Fourth Proportional to 574.95, 793.56 and 354.03

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Solution

The fourth proportional to 574.95, 793.56 and 354.03 is: 488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.95 : 793.56 = 354.03 : x
  2. Step 2: Convert to fraction form
    574.95/793.56 = 354.03/x
  3. Step 3: Cross multiply
    574.95x = 793.56 × 354.03
  4. Step 4: Simplify right side
    574.95x = 280,944.05
  5. Step 5: Solve for x
    x = 280,944.05/574.95
  6. Step 6: Final answer
    x = 488.64

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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.