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Finding the Fourth Proportional to 509.38, 762.95 and 333.95

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Solution

The fourth proportional to 509.38, 762.95 and 333.95 is: 500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.38 : 762.95 = 333.95 : x
  2. Step 2: Convert to fraction form
    509.38/762.95 = 333.95/x
  3. Step 3: Cross multiply
    509.38x = 762.95 × 333.95
  4. Step 4: Simplify right side
    509.38x = 254,784.17
  5. Step 5: Solve for x
    x = 254,784.17/509.38
  6. Step 6: Final answer
    x = 500.19

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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.