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Finding the Fourth Proportional to 607.98, 911.50 and 434.54

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Solution

The fourth proportional to 607.98, 911.50 and 434.54 is: 651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.98 : 911.50 = 434.54 : x
  2. Step 2: Convert to fraction form
    607.98/911.50 = 434.54/x
  3. Step 3: Cross multiply
    607.98x = 911.50 × 434.54
  4. Step 4: Simplify right side
    607.98x = 396,083.21
  5. Step 5: Solve for x
    x = 396,083.21/607.98
  6. Step 6: Final answer
    x = 651.47

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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.