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Finding the Fourth Proportional to 980.36, 1,471.62 and 611

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Solution

The fourth proportional to 980.36, 1,471.62 and 611 is: 917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.36 : 1,471.62 = 611 : x
  2. Step 2: Convert to fraction form
    980.36/1,471.62 = 611/x
  3. Step 3: Cross multiply
    980.36x = 1,471.62 × 611
  4. Step 4: Simplify right side
    980.36x = 899,159.82
  5. Step 5: Solve for x
    x = 899,159.82/980.36
  6. Step 6: Final answer
    x = 917.17

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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.