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Finding the Fourth Proportional to 589.41, 813.06 and 340.61

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Solution

The fourth proportional to 589.41, 813.06 and 340.61 is: 469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.41 : 813.06 = 340.61 : x
  2. Step 2: Convert to fraction form
    589.41/813.06 = 340.61/x
  3. Step 3: Cross multiply
    589.41x = 813.06 × 340.61
  4. Step 4: Simplify right side
    589.41x = 276,932.30
  5. Step 5: Solve for x
    x = 276,932.30/589.41
  6. Step 6: Final answer
    x = 469.85

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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.