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Finding the Fourth Proportional to 1,346.45, 2,019.66 and 480.75

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Solution

The fourth proportional to 1,346.45, 2,019.66 and 480.75 is: 721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.45 : 2,019.66 = 480.75 : x
  2. Step 2: Convert to fraction form
    1,346.45/2,019.66 = 480.75/x
  3. Step 3: Cross multiply
    1,346.45x = 2,019.66 × 480.75
  4. Step 4: Simplify right side
    1,346.45x = 970,951.55
  5. Step 5: Solve for x
    x = 970,951.55/1,346.45
  6. Step 6: Final answer
    x = 721.12

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1.5x scale

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.