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Finding the Fourth Proportional to 1,346.40, 2,019.67 and 480.71

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Solution

The fourth proportional to 1,346.40, 2,019.67 and 480.71 is: 721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.40 : 2,019.67 = 480.71 : x
  2. Step 2: Convert to fraction form
    1,346.40/2,019.67 = 480.71/x
  3. Step 3: Cross multiply
    1,346.40x = 2,019.67 × 480.71
  4. Step 4: Simplify right side
    1,346.40x = 970,879.41
  5. Step 5: Solve for x
    x = 970,879.41/1,346.40
  6. Step 6: Final answer
    x = 721.09

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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.