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Finding the Fourth Proportional to 730.78, 1,096.09 and 291.96

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Solution

The fourth proportional to 730.78, 1,096.09 and 291.96 is: 437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.78 : 1,096.09 = 291.96 : x
  2. Step 2: Convert to fraction form
    730.78/1,096.09 = 291.96/x
  3. Step 3: Cross multiply
    730.78x = 1,096.09 × 291.96
  4. Step 4: Simplify right side
    730.78x = 320,013.71
  5. Step 5: Solve for x
    x = 320,013.71/730.78
  6. Step 6: Final answer
    x = 437.91

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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.