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Finding the Fourth Proportional to 509.68, 762.96 and 336.07

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Solution

The fourth proportional to 509.68, 762.96 and 336.07 is: 503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.68 : 762.96 = 336.07 : x
  2. Step 2: Convert to fraction form
    509.68/762.96 = 336.07/x
  3. Step 3: Cross multiply
    509.68x = 762.96 × 336.07
  4. Step 4: Simplify right side
    509.68x = 256,407.97
  5. Step 5: Solve for x
    x = 256,407.97/509.68
  6. Step 6: Final answer
    x = 503.08

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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.