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Finding the Fourth Proportional to 572.96, 790.69 and 324.28

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Solution

The fourth proportional to 572.96, 790.69 and 324.28 is: 447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.96 : 790.69 = 324.28 : x
  2. Step 2: Convert to fraction form
    572.96/790.69 = 324.28/x
  3. Step 3: Cross multiply
    572.96x = 790.69 × 324.28
  4. Step 4: Simplify right side
    572.96x = 256,404.95
  5. Step 5: Solve for x
    x = 256,404.95/572.96
  6. Step 6: Final answer
    x = 447.51

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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.