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Finding the Fourth Proportional to 1,021.31, 1,409.42 and 579.21

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Solution

The fourth proportional to 1,021.31, 1,409.42 and 579.21 is: 799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.31 : 1,409.42 = 579.21 : x
  2. Step 2: Convert to fraction form
    1,021.31/1,409.42 = 579.21/x
  3. Step 3: Cross multiply
    1,021.31x = 1,409.42 × 579.21
  4. Step 4: Simplify right side
    1,021.31x = 816,350.16
  5. Step 5: Solve for x
    x = 816,350.16/1,021.31
  6. Step 6: Final answer
    x = 799.32

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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.