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Finding the Fourth Proportional to 1,308.74, 1,961.28 and 983.90

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Solution

The fourth proportional to 1,308.74, 1,961.28 and 983.90 is: 1,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.74 : 1,961.28 = 983.90 : x
  2. Step 2: Convert to fraction form
    1,308.74/1,961.28 = 983.90/x
  3. Step 3: Cross multiply
    1,308.74x = 1,961.28 × 983.90
  4. Step 4: Simplify right side
    1,308.74x = 1,929,703.39
  5. Step 5: Solve for x
    x = 1,929,703.39/1,308.74
  6. Step 6: Final answer
    x = 1,474.47

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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.