Home / 1,299.20-1,948.80-1,164.80

Finding the Fourth Proportional to 1,299.20, 1,948.80 and 1,164.80

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Solution

The fourth proportional to 1,299.20, 1,948.80 and 1,164.80 is: 1,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.20 : 1,948.80 = 1,164.80 : x
  2. Step 2: Convert to fraction form
    1,299.20/1,948.80 = 1,164.80/x
  3. Step 3: Cross multiply
    1,299.20x = 1,948.80 × 1,164.80
  4. Step 4: Simplify right side
    1,299.20x = 2,269,962.24
  5. Step 5: Solve for x
    x = 2,269,962.24/1,299.20
  6. Step 6: Final answer
    x = 1,747.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.