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Finding the Fourth Proportional to 501.22, 748.91 and 441.08

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Solution

The fourth proportional to 501.22, 748.91 and 441.08 is: 659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.22 : 748.91 = 441.08 : x
  2. Step 2: Convert to fraction form
    501.22/748.91 = 441.08/x
  3. Step 3: Cross multiply
    501.22x = 748.91 × 441.08
  4. Step 4: Simplify right side
    501.22x = 330,323.27
  5. Step 5: Solve for x
    x = 330,323.27/501.22
  6. Step 6: Final answer
    x = 659.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.