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Finding the Fourth Proportional to 589.14, 813.19 and 340.62

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Solution

The fourth proportional to 589.14, 813.19 and 340.62 is: 470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.14 : 813.19 = 340.62 : x
  2. Step 2: Convert to fraction form
    589.14/813.19 = 340.62/x
  3. Step 3: Cross multiply
    589.14x = 813.19 × 340.62
  4. Step 4: Simplify right side
    589.14x = 276,983.01
  5. Step 5: Solve for x
    x = 276,983.01/589.14
  6. Step 6: Final answer
    x = 470.15

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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.