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Finding the Fourth Proportional to 2,980.77, 4,471.17 and 900.78

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Solution

The fourth proportional to 2,980.77, 4,471.17 and 900.78 is: 1,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.77 : 4,471.17 = 900.78 : x
  2. Step 2: Convert to fraction form
    2,980.77/4,471.17 = 900.78/x
  3. Step 3: Cross multiply
    2,980.77x = 4,471.17 × 900.78
  4. Step 4: Simplify right side
    2,980.77x = 4,027,540.51
  5. Step 5: Solve for x
    x = 4,027,540.51/2,980.77
  6. Step 6: Final answer
    x = 1,351.17

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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.