Home / 1,383.28-2,075.60-767.44

Finding the Fourth Proportional to 1,383.28, 2,075.60 and 767.44

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Solution

The fourth proportional to 1,383.28, 2,075.60 and 767.44 is: 1,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.28 : 2,075.60 = 767.44 : x
  2. Step 2: Convert to fraction form
    1,383.28/2,075.60 = 767.44/x
  3. Step 3: Cross multiply
    1,383.28x = 2,075.60 × 767.44
  4. Step 4: Simplify right side
    1,383.28x = 1,592,898.46
  5. Step 5: Solve for x
    x = 1,592,898.46/1,383.28
  6. Step 6: Final answer
    x = 1,151.54

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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.