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Finding the Fourth Proportional to 509.78, 764.60 and 163.13

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Solution

The fourth proportional to 509.78, 764.60 and 163.13 is: 244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.78 : 764.60 = 163.13 : x
  2. Step 2: Convert to fraction form
    509.78/764.60 = 163.13/x
  3. Step 3: Cross multiply
    509.78x = 764.60 × 163.13
  4. Step 4: Simplify right side
    509.78x = 124,725.78
  5. Step 5: Solve for x
    x = 124,725.78/509.78
  6. Step 6: Final answer
    x = 244.66

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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.