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Finding the Fourth Proportional to 509.54, 762.94 and 335.75

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Solution

The fourth proportional to 509.54, 762.94 and 335.75 is: 502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.54 : 762.94 = 335.75 : x
  2. Step 2: Convert to fraction form
    509.54/762.94 = 335.75/x
  3. Step 3: Cross multiply
    509.54x = 762.94 × 335.75
  4. Step 4: Simplify right side
    509.54x = 256,154.65
  5. Step 5: Solve for x
    x = 256,154.65/509.54
  6. Step 6: Final answer
    x = 502.72

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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.