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Finding the Fourth Proportional to 755.78, 1,042.88 and 441.12

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Solution

The fourth proportional to 755.78, 1,042.88 and 441.12 is: 608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.78 : 1,042.88 = 441.12 : x
  2. Step 2: Convert to fraction form
    755.78/1,042.88 = 441.12/x
  3. Step 3: Cross multiply
    755.78x = 1,042.88 × 441.12
  4. Step 4: Simplify right side
    755.78x = 460,032.31
  5. Step 5: Solve for x
    x = 460,032.31/755.78
  6. Step 6: Final answer
    x = 608.69

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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.