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Finding the Fourth Proportional to 509.85, 764.69 and 144.64

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Solution

The fourth proportional to 509.85, 764.69 and 144.64 is: 216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.85 : 764.69 = 144.64 : x
  2. Step 2: Convert to fraction form
    509.85/764.69 = 144.64/x
  3. Step 3: Cross multiply
    509.85x = 764.69 × 144.64
  4. Step 4: Simplify right side
    509.85x = 110,604.76
  5. Step 5: Solve for x
    x = 110,604.76/509.85
  6. Step 6: Final answer
    x = 216.94

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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.