Home / 1,634.30-2,255.19-971.31

Finding the Fourth Proportional to 1,634.30, 2,255.19 and 971.31

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Solution

The fourth proportional to 1,634.30, 2,255.19 and 971.31 is: 1,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.30 : 2,255.19 = 971.31 : x
  2. Step 2: Convert to fraction form
    1,634.30/2,255.19 = 971.31/x
  3. Step 3: Cross multiply
    1,634.30x = 2,255.19 × 971.31
  4. Step 4: Simplify right side
    1,634.30x = 2,190,488.60
  5. Step 5: Solve for x
    x = 2,190,488.60/1,634.30
  6. Step 6: Final answer
    x = 1,340.32

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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.