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Finding the Fourth Proportional to 755.92, 1,043.14 and 419.80

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Solution

The fourth proportional to 755.92, 1,043.14 and 419.80 is: 579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.92 : 1,043.14 = 419.80 : x
  2. Step 2: Convert to fraction form
    755.92/1,043.14 = 419.80/x
  3. Step 3: Cross multiply
    755.92x = 1,043.14 × 419.80
  4. Step 4: Simplify right side
    755.92x = 437,910.17
  5. Step 5: Solve for x
    x = 437,910.17/755.92
  6. Step 6: Final answer
    x = 579.31

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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.