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Finding the Fourth Proportional to 589.72, 814.02 and 356.92

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Solution

The fourth proportional to 589.72, 814.02 and 356.92 is: 492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.72 : 814.02 = 356.92 : x
  2. Step 2: Convert to fraction form
    589.72/814.02 = 356.92/x
  3. Step 3: Cross multiply
    589.72x = 814.02 × 356.92
  4. Step 4: Simplify right side
    589.72x = 290,540.02
  5. Step 5: Solve for x
    x = 290,540.02/589.72
  6. Step 6: Final answer
    x = 492.67

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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.