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Finding the Fourth Proportional to 1,420.94, 1,961.01 and 979.90

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Solution

The fourth proportional to 1,420.94, 1,961.01 and 979.90 is: 1,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.94 : 1,961.01 = 979.90 : x
  2. Step 2: Convert to fraction form
    1,420.94/1,961.01 = 979.90/x
  3. Step 3: Cross multiply
    1,420.94x = 1,961.01 × 979.90
  4. Step 4: Simplify right side
    1,420.94x = 1,921,588.80
  5. Step 5: Solve for x
    x = 1,921,588.80/1,420.94
  6. Step 6: Final answer
    x = 1,352.33

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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.