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Finding the Fourth Proportional to 509.36, 764.10 and 377.06

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Solution

The fourth proportional to 509.36, 764.10 and 377.06 is: 565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.36 : 764.10 = 377.06 : x
  2. Step 2: Convert to fraction form
    509.36/764.10 = 377.06/x
  3. Step 3: Cross multiply
    509.36x = 764.10 × 377.06
  4. Step 4: Simplify right side
    509.36x = 288,107.73
  5. Step 5: Solve for x
    x = 288,107.73/509.36
  6. Step 6: Final answer
    x = 565.63

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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.