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Finding the Fourth Proportional to 1,298.20, 1,949.10 and 812.20

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Solution

The fourth proportional to 1,298.20, 1,949.10 and 812.20 is: 1,219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.20 : 1,949.10 = 812.20 : x
  2. Step 2: Convert to fraction form
    1,298.20/1,949.10 = 812.20/x
  3. Step 3: Cross multiply
    1,298.20x = 1,949.10 × 812.20
  4. Step 4: Simplify right side
    1,298.20x = 1,583,059.02
  5. Step 5: Solve for x
    x = 1,583,059.02/1,298.20
  6. Step 6: Final answer
    x = 1,219.43

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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.