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Finding the Fourth Proportional to 589.66, 813.61 and 340.90

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Solution

The fourth proportional to 589.66, 813.61 and 340.90 is: 470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.66 : 813.61 = 340.90 : x
  2. Step 2: Convert to fraction form
    589.66/813.61 = 340.90/x
  3. Step 3: Cross multiply
    589.66x = 813.61 × 340.90
  4. Step 4: Simplify right side
    589.66x = 277,359.65
  5. Step 5: Solve for x
    x = 277,359.65/589.66
  6. Step 6: Final answer
    x = 470.37

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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.