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Finding the Fourth Proportional to 755.86, 1,043.08 and 441.10

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Solution

The fourth proportional to 755.86, 1,043.08 and 441.10 is: 608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.86 : 1,043.08 = 441.10 : x
  2. Step 2: Convert to fraction form
    755.86/1,043.08 = 441.10/x
  3. Step 3: Cross multiply
    755.86x = 1,043.08 × 441.10
  4. Step 4: Simplify right side
    755.86x = 460,096.92
  5. Step 5: Solve for x
    x = 460,096.92/755.86
  6. Step 6: Final answer
    x = 608.71

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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.