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Finding the Fourth Proportional to 754.63, 1,129.75 and 441.32

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Solution

The fourth proportional to 754.63, 1,129.75 and 441.32 is: 660.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.63 : 1,129.75 = 441.32 : x
  2. Step 2: Convert to fraction form
    754.63/1,129.75 = 441.32/x
  3. Step 3: Cross multiply
    754.63x = 1,129.75 × 441.32
  4. Step 4: Simplify right side
    754.63x = 498,574.52
  5. Step 5: Solve for x
    x = 498,574.52/754.63
  6. Step 6: Final answer
    x = 660.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.