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Finding the Fourth Proportional to 1,446.56, 1,995.25 and 922.35

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Solution

The fourth proportional to 1,446.56, 1,995.25 and 922.35 is: 1,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.56 : 1,995.25 = 922.35 : x
  2. Step 2: Convert to fraction form
    1,446.56/1,995.25 = 922.35/x
  3. Step 3: Cross multiply
    1,446.56x = 1,995.25 × 922.35
  4. Step 4: Simplify right side
    1,446.56x = 1,840,318.84
  5. Step 5: Solve for x
    x = 1,840,318.84/1,446.56
  6. Step 6: Final answer
    x = 1,272.20

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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.