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Finding the Fourth Proportional to 1,422.15, 1,961.76 and 897.27

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Solution

The fourth proportional to 1,422.15, 1,961.76 and 897.27 is: 1,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.15 : 1,961.76 = 897.27 : x
  2. Step 2: Convert to fraction form
    1,422.15/1,961.76 = 897.27/x
  3. Step 3: Cross multiply
    1,422.15x = 1,961.76 × 897.27
  4. Step 4: Simplify right side
    1,422.15x = 1,760,228.40
  5. Step 5: Solve for x
    x = 1,760,228.40/1,422.15
  6. Step 6: Final answer
    x = 1,237.72

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