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Finding the Fourth Proportional to 434.97, 599.81 and 324.27

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Solution

The fourth proportional to 434.97, 599.81 and 324.27 is: 447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.97 : 599.81 = 324.27 : x
  2. Step 2: Convert to fraction form
    434.97/599.81 = 324.27/x
  3. Step 3: Cross multiply
    434.97x = 599.81 × 324.27
  4. Step 4: Simplify right side
    434.97x = 194,498.77
  5. Step 5: Solve for x
    x = 194,498.77/434.97
  6. Step 6: Final answer
    x = 447.15

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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.