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Finding the Fourth Proportional to 1,021.43, 1,409.72 and 579.44

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Solution

The fourth proportional to 1,021.43, 1,409.72 and 579.44 is: 799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.43 : 1,409.72 = 579.44 : x
  2. Step 2: Convert to fraction form
    1,021.43/1,409.72 = 579.44/x
  3. Step 3: Cross multiply
    1,021.43x = 1,409.72 × 579.44
  4. Step 4: Simplify right side
    1,021.43x = 816,838.21
  5. Step 5: Solve for x
    x = 816,838.21/1,021.43
  6. Step 6: Final answer
    x = 799.70

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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.