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Finding the Fourth Proportional to 509.94, 766.62 and 419.34

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Solution

The fourth proportional to 509.94, 766.62 and 419.34 is: 630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 766.62 = 419.34 : x
  2. Step 2: Convert to fraction form
    509.94/766.62 = 419.34/x
  3. Step 3: Cross multiply
    509.94x = 766.62 × 419.34
  4. Step 4: Simplify right side
    509.94x = 321,474.43
  5. Step 5: Solve for x
    x = 321,474.43/509.94
  6. Step 6: Final answer
    x = 630.42

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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.