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Finding the Fourth Proportional to 572.95, 790.66 and 324.27

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Solution

The fourth proportional to 572.95, 790.66 and 324.27 is: 447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.95 : 790.66 = 324.27 : x
  2. Step 2: Convert to fraction form
    572.95/790.66 = 324.27/x
  3. Step 3: Cross multiply
    572.95x = 790.66 × 324.27
  4. Step 4: Simplify right side
    572.95x = 256,387.72
  5. Step 5: Solve for x
    x = 256,387.72/572.95
  6. Step 6: Final answer
    x = 447.49

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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.