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Finding the Fourth Proportional to 980.77, 1,471.16 and 331.51

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Solution

The fourth proportional to 980.77, 1,471.16 and 331.51 is: 497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.77 : 1,471.16 = 331.51 : x
  2. Step 2: Convert to fraction form
    980.77/1,471.16 = 331.51/x
  3. Step 3: Cross multiply
    980.77x = 1,471.16 × 331.51
  4. Step 4: Simplify right side
    980.77x = 487,704.25
  5. Step 5: Solve for x
    x = 487,704.25/980.77
  6. Step 6: Final answer
    x = 497.27

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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.