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Finding the Fourth Proportional to 607.27, 910.91 and 174.42

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Solution

The fourth proportional to 607.27, 910.91 and 174.42 is: 261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.27 : 910.91 = 174.42 : x
  2. Step 2: Convert to fraction form
    607.27/910.91 = 174.42/x
  3. Step 3: Cross multiply
    607.27x = 910.91 × 174.42
  4. Step 4: Simplify right side
    607.27x = 158,880.05
  5. Step 5: Solve for x
    x = 158,880.05/607.27
  6. Step 6: Final answer
    x = 261.63

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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.