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Finding the Fourth Proportional to 509.30, 765.49 and 336.56

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Solution

The fourth proportional to 509.30, 765.49 and 336.56 is: 505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.30 : 765.49 = 336.56 : x
  2. Step 2: Convert to fraction form
    509.30/765.49 = 336.56/x
  3. Step 3: Cross multiply
    509.30x = 765.49 × 336.56
  4. Step 4: Simplify right side
    509.30x = 257,632.03
  5. Step 5: Solve for x
    x = 257,632.03/509.30
  6. Step 6: Final answer
    x = 505.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.