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Finding the Fourth Proportional to 1,277.40, 1,761.42 and 982.02

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Solution

The fourth proportional to 1,277.40, 1,761.42 and 982.02 is: 1,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.40 : 1,761.42 = 982.02 : x
  2. Step 2: Convert to fraction form
    1,277.40/1,761.42 = 982.02/x
  3. Step 3: Cross multiply
    1,277.40x = 1,761.42 × 982.02
  4. Step 4: Simplify right side
    1,277.40x = 1,729,749.67
  5. Step 5: Solve for x
    x = 1,729,749.67/1,277.40
  6. Step 6: Final answer
    x = 1,354.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.