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Finding the Fourth Proportional to 1,346.06, 2,019.13 and 480.38

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Solution

The fourth proportional to 1,346.06, 2,019.13 and 480.38 is: 720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.06 : 2,019.13 = 480.38 : x
  2. Step 2: Convert to fraction form
    1,346.06/2,019.13 = 480.38/x
  3. Step 3: Cross multiply
    1,346.06x = 2,019.13 × 480.38
  4. Step 4: Simplify right side
    1,346.06x = 969,938.37
  5. Step 5: Solve for x
    x = 969,938.37/1,346.06
  6. Step 6: Final answer
    x = 720.57

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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.