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Finding the Fourth Proportional to 980.42, 1,471.11 and 460.33

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Solution

The fourth proportional to 980.42, 1,471.11 and 460.33 is: 690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.42 : 1,471.11 = 460.33 : x
  2. Step 2: Convert to fraction form
    980.42/1,471.11 = 460.33/x
  3. Step 3: Cross multiply
    980.42x = 1,471.11 × 460.33
  4. Step 4: Simplify right side
    980.42x = 677,196.07
  5. Step 5: Solve for x
    x = 677,196.07/980.42
  6. Step 6: Final answer
    x = 690.72

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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.