Home / 1,648.24-2,263.07-1,605.43

Finding the Fourth Proportional to 1,648.24, 2,263.07 and 1,605.43

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Solution

The fourth proportional to 1,648.24, 2,263.07 and 1,605.43 is: 2,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.24 : 2,263.07 = 1,605.43 : x
  2. Step 2: Convert to fraction form
    1,648.24/2,263.07 = 1,605.43/x
  3. Step 3: Cross multiply
    1,648.24x = 2,263.07 × 1,605.43
  4. Step 4: Simplify right side
    1,648.24x = 3,633,200.47
  5. Step 5: Solve for x
    x = 3,633,200.47/1,648.24
  6. Step 6: Final answer
    x = 2,204.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.