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Finding the Fourth Proportional to 1,213.56, 1,820.74 and 482.73

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Solution

The fourth proportional to 1,213.56, 1,820.74 and 482.73 is: 724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.56 : 1,820.74 = 482.73 : x
  2. Step 2: Convert to fraction form
    1,213.56/1,820.74 = 482.73/x
  3. Step 3: Cross multiply
    1,213.56x = 1,820.74 × 482.73
  4. Step 4: Simplify right side
    1,213.56x = 878,925.82
  5. Step 5: Solve for x
    x = 878,925.82/1,213.56
  6. Step 6: Final answer
    x = 724.25

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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.