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Finding the Fourth Proportional to 980.01, 1,350.95 and 805.05

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Solution

The fourth proportional to 980.01, 1,350.95 and 805.05 is: 1,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.01 : 1,350.95 = 805.05 : x
  2. Step 2: Convert to fraction form
    980.01/1,350.95 = 805.05/x
  3. Step 3: Cross multiply
    980.01x = 1,350.95 × 805.05
  4. Step 4: Simplify right side
    980.01x = 1,087,578.27
  5. Step 5: Solve for x
    x = 1,087,578.27/980.01
  6. Step 6: Final answer
    x = 1,109.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.