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Finding the Fourth Proportional to 589, 813.06 and 382.60

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Solution

The fourth proportional to 589, 813.06 and 382.60 is: 528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589 : 813.06 = 382.60 : x
  2. Step 2: Convert to fraction form
    589/813.06 = 382.60/x
  3. Step 3: Cross multiply
    589x = 813.06 × 382.60
  4. Step 4: Simplify right side
    589x = 311,076.76
  5. Step 5: Solve for x
    x = 311,076.76/589
  6. Step 6: Final answer
    x = 528.14

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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.