Home / 1,323.80-1,830.33-1,159.78

Finding the Fourth Proportional to 1,323.80, 1,830.33 and 1,159.78

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Solution

The fourth proportional to 1,323.80, 1,830.33 and 1,159.78 is: 1,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.80 : 1,830.33 = 1,159.78 : x
  2. Step 2: Convert to fraction form
    1,323.80/1,830.33 = 1,159.78/x
  3. Step 3: Cross multiply
    1,323.80x = 1,830.33 × 1,159.78
  4. Step 4: Simplify right side
    1,323.80x = 2,122,770.98
  5. Step 5: Solve for x
    x = 2,122,770.98/1,323.80
  6. Step 6: Final answer
    x = 1,603.54

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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.