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Finding the Fourth Proportional to 589.63, 813.67 and 324.08

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Solution

The fourth proportional to 589.63, 813.67 and 324.08 is: 447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.63 : 813.67 = 324.08 : x
  2. Step 2: Convert to fraction form
    589.63/813.67 = 324.08/x
  3. Step 3: Cross multiply
    589.63x = 813.67 × 324.08
  4. Step 4: Simplify right side
    589.63x = 263,690.97
  5. Step 5: Solve for x
    x = 263,690.97/589.63
  6. Step 6: Final answer
    x = 447.21

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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.