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Finding the Fourth Proportional to 589.38, 813.15 and 412.40

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Solution

The fourth proportional to 589.38, 813.15 and 412.40 is: 568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.38 : 813.15 = 412.40 : x
  2. Step 2: Convert to fraction form
    589.38/813.15 = 412.40/x
  3. Step 3: Cross multiply
    589.38x = 813.15 × 412.40
  4. Step 4: Simplify right side
    589.38x = 335,338.99
  5. Step 5: Solve for x
    x = 335,338.99/589.38
  6. Step 6: Final answer
    x = 568.97

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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.