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Finding the Fourth Proportional to 982.22, 1,480.23 and 920.70

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Solution

The fourth proportional to 982.22, 1,480.23 and 920.70 is: 1,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.22 : 1,480.23 = 920.70 : x
  2. Step 2: Convert to fraction form
    982.22/1,480.23 = 920.70/x
  3. Step 3: Cross multiply
    982.22x = 1,480.23 × 920.70
  4. Step 4: Simplify right side
    982.22x = 1,362,847.76
  5. Step 5: Solve for x
    x = 1,362,847.76/982.22
  6. Step 6: Final answer
    x = 1,387.52

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1.5x scale

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.