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Finding the Fourth Proportional to 573.98, 792.09 and 325.31

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Solution

The fourth proportional to 573.98, 792.09 and 325.31 is: 448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.98 : 792.09 = 325.31 : x
  2. Step 2: Convert to fraction form
    573.98/792.09 = 325.31/x
  3. Step 3: Cross multiply
    573.98x = 792.09 × 325.31
  4. Step 4: Simplify right side
    573.98x = 257,670.84
  5. Step 5: Solve for x
    x = 257,670.84/573.98
  6. Step 6: Final answer
    x = 448.92

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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.