Home / 1,644.29-2,268.53-971.96

Finding the Fourth Proportional to 1,644.29, 2,268.53 and 971.96

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Solution

The fourth proportional to 1,644.29, 2,268.53 and 971.96 is: 1,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.29 : 2,268.53 = 971.96 : x
  2. Step 2: Convert to fraction form
    1,644.29/2,268.53 = 971.96/x
  3. Step 3: Cross multiply
    1,644.29x = 2,268.53 × 971.96
  4. Step 4: Simplify right side
    1,644.29x = 2,204,909.08
  5. Step 5: Solve for x
    x = 2,204,909.08/1,644.29
  6. Step 6: Final answer
    x = 1,340.95

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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.