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Finding the Fourth Proportional to 470.46, 704.81 and 419.62

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Solution

The fourth proportional to 470.46, 704.81 and 419.62 is: 628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.46 : 704.81 = 419.62 : x
  2. Step 2: Convert to fraction form
    470.46/704.81 = 419.62/x
  3. Step 3: Cross multiply
    470.46x = 704.81 × 419.62
  4. Step 4: Simplify right side
    470.46x = 295,752.37
  5. Step 5: Solve for x
    x = 295,752.37/470.46
  6. Step 6: Final answer
    x = 628.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.