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Finding the Fourth Proportional to 1,213.68, 1,820.52 and 969.88

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Solution

The fourth proportional to 1,213.68, 1,820.52 and 969.88 is: 1,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.68 : 1,820.52 = 969.88 : x
  2. Step 2: Convert to fraction form
    1,213.68/1,820.52 = 969.88/x
  3. Step 3: Cross multiply
    1,213.68x = 1,820.52 × 969.88
  4. Step 4: Simplify right side
    1,213.68x = 1,765,685.94
  5. Step 5: Solve for x
    x = 1,765,685.94/1,213.68
  6. Step 6: Final answer
    x = 1,454.82

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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.