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Finding the Fourth Proportional to 1,409.42, 2,112.84 and 543.56

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Solution

The fourth proportional to 1,409.42, 2,112.84 and 543.56 is: 814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.42 : 2,112.84 = 543.56 : x
  2. Step 2: Convert to fraction form
    1,409.42/2,112.84 = 543.56/x
  3. Step 3: Cross multiply
    1,409.42x = 2,112.84 × 543.56
  4. Step 4: Simplify right side
    1,409.42x = 1,148,455.31
  5. Step 5: Solve for x
    x = 1,148,455.31/1,409.42
  6. Step 6: Final answer
    x = 814.84

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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.