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Finding the Fourth Proportional to 589.72, 814.08 and 382.72

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Solution

The fourth proportional to 589.72, 814.08 and 382.72 is: 528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.72 : 814.08 = 382.72 : x
  2. Step 2: Convert to fraction form
    589.72/814.08 = 382.72/x
  3. Step 3: Cross multiply
    589.72x = 814.08 × 382.72
  4. Step 4: Simplify right side
    589.72x = 311,564.70
  5. Step 5: Solve for x
    x = 311,564.70/589.72
  6. Step 6: Final answer
    x = 528.33

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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.