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Finding the Fourth Proportional to 980.40, 1,471.68 and 776.28

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Solution

The fourth proportional to 980.40, 1,471.68 and 776.28 is: 1,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.40 : 1,471.68 = 776.28 : x
  2. Step 2: Convert to fraction form
    980.40/1,471.68 = 776.28/x
  3. Step 3: Cross multiply
    980.40x = 1,471.68 × 776.28
  4. Step 4: Simplify right side
    980.40x = 1,142,435.75
  5. Step 5: Solve for x
    x = 1,142,435.75/980.40
  6. Step 6: Final answer
    x = 1,165.28

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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.