Home / 1,021.28-1,409.46-579.20

Finding the Fourth Proportional to 1,021.28, 1,409.46 and 579.20

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Solution

The fourth proportional to 1,021.28, 1,409.46 and 579.20 is: 799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.28 : 1,409.46 = 579.20 : x
  2. Step 2: Convert to fraction form
    1,021.28/1,409.46 = 579.20/x
  3. Step 3: Cross multiply
    1,021.28x = 1,409.46 × 579.20
  4. Step 4: Simplify right side
    1,021.28x = 816,359.23
  5. Step 5: Solve for x
    x = 816,359.23/1,021.28
  6. Step 6: Final answer
    x = 799.35

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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.