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Finding the Fourth Proportional to 730.31, 1,095.91 and 378.94

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Solution

The fourth proportional to 730.31, 1,095.91 and 378.94 is: 568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.31 : 1,095.91 = 378.94 : x
  2. Step 2: Convert to fraction form
    730.31/1,095.91 = 378.94/x
  3. Step 3: Cross multiply
    730.31x = 1,095.91 × 378.94
  4. Step 4: Simplify right side
    730.31x = 415,284.14
  5. Step 5: Solve for x
    x = 415,284.14/730.31
  6. Step 6: Final answer
    x = 568.64

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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.