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Finding the Fourth Proportional to 1,021.53, 1,409.78 and 579.43

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Solution

The fourth proportional to 1,021.53, 1,409.78 and 579.43 is: 799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.53 : 1,409.78 = 579.43 : x
  2. Step 2: Convert to fraction form
    1,021.53/1,409.78 = 579.43/x
  3. Step 3: Cross multiply
    1,021.53x = 1,409.78 × 579.43
  4. Step 4: Simplify right side
    1,021.53x = 816,868.83
  5. Step 5: Solve for x
    x = 816,868.83/1,021.53
  6. Step 6: Final answer
    x = 799.65

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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.