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Finding the Fourth Proportional to 730.23, 1,094.64 and 378.73

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Solution

The fourth proportional to 730.23, 1,094.64 and 378.73 is: 567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.23 : 1,094.64 = 378.73 : x
  2. Step 2: Convert to fraction form
    730.23/1,094.64 = 378.73/x
  3. Step 3: Cross multiply
    730.23x = 1,094.64 × 378.73
  4. Step 4: Simplify right side
    730.23x = 414,573.01
  5. Step 5: Solve for x
    x = 414,573.01/730.23
  6. Step 6: Final answer
    x = 567.73

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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.