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Finding the Fourth Proportional to 1,362.62, 2,041.20 and 812.84

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Solution

The fourth proportional to 1,362.62, 2,041.20 and 812.84 is: 1,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.62 : 2,041.20 = 812.84 : x
  2. Step 2: Convert to fraction form
    1,362.62/2,041.20 = 812.84/x
  3. Step 3: Cross multiply
    1,362.62x = 2,041.20 × 812.84
  4. Step 4: Simplify right side
    1,362.62x = 1,659,158.80
  5. Step 5: Solve for x
    x = 1,659,158.80/1,362.62
  6. Step 6: Final answer
    x = 1,217.62

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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.