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Finding the Fourth Proportional to 572.80, 790.43 and 324.13

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Solution

The fourth proportional to 572.80, 790.43 and 324.13 is: 447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.80 : 790.43 = 324.13 : x
  2. Step 2: Convert to fraction form
    572.80/790.43 = 324.13/x
  3. Step 3: Cross multiply
    572.80x = 790.43 × 324.13
  4. Step 4: Simplify right side
    572.80x = 256,202.08
  5. Step 5: Solve for x
    x = 256,202.08/572.80
  6. Step 6: Final answer
    x = 447.28

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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.