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Finding the Fourth Proportional to 509.84, 764.77 and 144.62

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Solution

The fourth proportional to 509.84, 764.77 and 144.62 is: 216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.84 : 764.77 = 144.62 : x
  2. Step 2: Convert to fraction form
    509.84/764.77 = 144.62/x
  3. Step 3: Cross multiply
    509.84x = 764.77 × 144.62
  4. Step 4: Simplify right side
    509.84x = 110,596.85
  5. Step 5: Solve for x
    x = 110,596.85/509.84
  6. Step 6: Final answer
    x = 216.93

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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.