Home / 1,409.28-1,940.40-1,159.80

Finding the Fourth Proportional to 1,409.28, 1,940.40 and 1,159.80

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Solution

The fourth proportional to 1,409.28, 1,940.40 and 1,159.80 is: 1,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.28 : 1,940.40 = 1,159.80 : x
  2. Step 2: Convert to fraction form
    1,409.28/1,940.40 = 1,159.80/x
  3. Step 3: Cross multiply
    1,409.28x = 1,940.40 × 1,159.80
  4. Step 4: Simplify right side
    1,409.28x = 2,250,475.92
  5. Step 5: Solve for x
    x = 2,250,475.92/1,409.28
  6. Step 6: Final answer
    x = 1,596.90

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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.