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Finding the Fourth Proportional to 573.95, 792.20 and 325.42

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Solution

The fourth proportional to 573.95, 792.20 and 325.42 is: 449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.95 : 792.20 = 325.42 : x
  2. Step 2: Convert to fraction form
    573.95/792.20 = 325.42/x
  3. Step 3: Cross multiply
    573.95x = 792.20 × 325.42
  4. Step 4: Simplify right side
    573.95x = 257,796.56
  5. Step 5: Solve for x
    x = 257,796.56/573.95
  6. Step 6: Final answer
    x = 449.16

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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.