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Finding the Fourth Proportional to 755.84, 1,042.96 and 461.12

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Solution

The fourth proportional to 755.84, 1,042.96 and 461.12 is: 636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.84 : 1,042.96 = 461.12 : x
  2. Step 2: Convert to fraction form
    755.84/1,042.96 = 461.12/x
  3. Step 3: Cross multiply
    755.84x = 1,042.96 × 461.12
  4. Step 4: Simplify right side
    755.84x = 480,929.72
  5. Step 5: Solve for x
    x = 480,929.72/755.84
  6. Step 6: Final answer
    x = 636.29

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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.