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Finding the Fourth Proportional to 755.87, 1,042.88 and 461.23

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Solution

The fourth proportional to 755.87, 1,042.88 and 461.23 is: 636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.87 : 1,042.88 = 461.23 : x
  2. Step 2: Convert to fraction form
    755.87/1,042.88 = 461.23/x
  3. Step 3: Cross multiply
    755.87x = 1,042.88 × 461.23
  4. Step 4: Simplify right side
    755.87x = 481,002.63
  5. Step 5: Solve for x
    x = 481,002.63/755.87
  6. Step 6: Final answer
    x = 636.36

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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.