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Finding the Fourth Proportional to 607.61, 911.96 and 376.94

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Solution

The fourth proportional to 607.61, 911.96 and 376.94 is: 565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.61 : 911.96 = 376.94 : x
  2. Step 2: Convert to fraction form
    607.61/911.96 = 376.94/x
  3. Step 3: Cross multiply
    607.61x = 911.96 × 376.94
  4. Step 4: Simplify right side
    607.61x = 343,754.20
  5. Step 5: Solve for x
    x = 343,754.20/607.61
  6. Step 6: Final answer
    x = 565.75

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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.