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Finding the Fourth Proportional to 607.78, 911.90 and 364.48

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Solution

The fourth proportional to 607.78, 911.90 and 364.48 is: 546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.78 : 911.90 = 364.48 : x
  2. Step 2: Convert to fraction form
    607.78/911.90 = 364.48/x
  3. Step 3: Cross multiply
    607.78x = 911.90 × 364.48
  4. Step 4: Simplify right side
    607.78x = 332,365.21
  5. Step 5: Solve for x
    x = 332,365.21/607.78
  6. Step 6: Final answer
    x = 546.85

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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.