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Finding the Fourth Proportional to 982.56, 1,480.61 and 813.05

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Solution

The fourth proportional to 982.56, 1,480.61 and 813.05 is: 1,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.56 : 1,480.61 = 813.05 : x
  2. Step 2: Convert to fraction form
    982.56/1,480.61 = 813.05/x
  3. Step 3: Cross multiply
    982.56x = 1,480.61 × 813.05
  4. Step 4: Simplify right side
    982.56x = 1,203,818.47
  5. Step 5: Solve for x
    x = 1,203,818.47/982.56
  6. Step 6: Final answer
    x = 1,225.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.