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Finding the Fourth Proportional to 730.28, 1,094.14 and 441.64

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Solution

The fourth proportional to 730.28, 1,094.14 and 441.64 is: 661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.28 : 1,094.14 = 441.64 : x
  2. Step 2: Convert to fraction form
    730.28/1,094.14 = 441.64/x
  3. Step 3: Cross multiply
    730.28x = 1,094.14 × 441.64
  4. Step 4: Simplify right side
    730.28x = 483,215.99
  5. Step 5: Solve for x
    x = 483,215.99/730.28
  6. Step 6: Final answer
    x = 661.69

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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.