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Finding the Fourth Proportional to 755.43, 1,042.53 and 419.37

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Solution

The fourth proportional to 755.43, 1,042.53 and 419.37 is: 578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.43 : 1,042.53 = 419.37 : x
  2. Step 2: Convert to fraction form
    755.43/1,042.53 = 419.37/x
  3. Step 3: Cross multiply
    755.43x = 1,042.53 × 419.37
  4. Step 4: Simplify right side
    755.43x = 437,205.81
  5. Step 5: Solve for x
    x = 437,205.81/755.43
  6. Step 6: Final answer
    x = 578.75

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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.