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Finding the Fourth Proportional to 572.66, 790.26 and 323.98

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Solution

The fourth proportional to 572.66, 790.26 and 323.98 is: 447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.66 : 790.26 = 323.98 : x
  2. Step 2: Convert to fraction form
    572.66/790.26 = 323.98/x
  3. Step 3: Cross multiply
    572.66x = 790.26 × 323.98
  4. Step 4: Simplify right side
    572.66x = 256,028.43
  5. Step 5: Solve for x
    x = 256,028.43/572.66
  6. Step 6: Final answer
    x = 447.09

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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.