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Finding the Fourth Proportional to 589.14, 813.01 and 323.57

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Solution

The fourth proportional to 589.14, 813.01 and 323.57 is: 446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.14 : 813.01 = 323.57 : x
  2. Step 2: Convert to fraction form
    589.14/813.01 = 323.57/x
  3. Step 3: Cross multiply
    589.14x = 813.01 × 323.57
  4. Step 4: Simplify right side
    589.14x = 263,066.57
  5. Step 5: Solve for x
    x = 263,066.57/589.14
  6. Step 6: Final answer
    x = 446.52

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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.