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Finding the Fourth Proportional to 1,213.95, 1,818.23 and 982.29

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Solution

The fourth proportional to 1,213.95, 1,818.23 and 982.29 is: 1,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.95 : 1,818.23 = 982.29 : x
  2. Step 2: Convert to fraction form
    1,213.95/1,818.23 = 982.29/x
  3. Step 3: Cross multiply
    1,213.95x = 1,818.23 × 982.29
  4. Step 4: Simplify right side
    1,213.95x = 1,786,024.24
  5. Step 5: Solve for x
    x = 1,786,024.24/1,213.95
  6. Step 6: Final answer
    x = 1,471.25

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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.