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Finding the Fourth Proportional to 573.19, 790.81 and 349.20

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Solution

The fourth proportional to 573.19, 790.81 and 349.20 is: 481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.19 : 790.81 = 349.20 : x
  2. Step 2: Convert to fraction form
    573.19/790.81 = 349.20/x
  3. Step 3: Cross multiply
    573.19x = 790.81 × 349.20
  4. Step 4: Simplify right side
    573.19x = 276,149.11
  5. Step 5: Solve for x
    x = 276,149.11/573.19
  6. Step 6: Final answer
    x = 481.78

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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.