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Finding the Fourth Proportional to 572.78, 790.47 and 324.09

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Solution

The fourth proportional to 572.78, 790.47 and 324.09 is: 447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.78 : 790.47 = 324.09 : x
  2. Step 2: Convert to fraction form
    572.78/790.47 = 324.09/x
  3. Step 3: Cross multiply
    572.78x = 790.47 × 324.09
  4. Step 4: Simplify right side
    572.78x = 256,185.27
  5. Step 5: Solve for x
    x = 256,185.27/572.78
  6. Step 6: Final answer
    x = 447.27

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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.