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Finding the Fourth Proportional to 1,346.32, 2,019.06 and 480.46

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Solution

The fourth proportional to 1,346.32, 2,019.06 and 480.46 is: 720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.32 : 2,019.06 = 480.46 : x
  2. Step 2: Convert to fraction form
    1,346.32/2,019.06 = 480.46/x
  3. Step 3: Cross multiply
    1,346.32x = 2,019.06 × 480.46
  4. Step 4: Simplify right side
    1,346.32x = 970,077.57
  5. Step 5: Solve for x
    x = 970,077.57/1,346.32
  6. Step 6: Final answer
    x = 720.54

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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.