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Finding the Fourth Proportional to 1,346.50, 2,019.12 and 480.61

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Solution

The fourth proportional to 1,346.50, 2,019.12 and 480.61 is: 720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.50 : 2,019.12 = 480.61 : x
  2. Step 2: Convert to fraction form
    1,346.50/2,019.12 = 480.61/x
  3. Step 3: Cross multiply
    1,346.50x = 2,019.12 × 480.61
  4. Step 4: Simplify right side
    1,346.50x = 970,409.26
  5. Step 5: Solve for x
    x = 970,409.26/1,346.50
  6. Step 6: Final answer
    x = 720.69

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Double scale
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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.