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Finding the Fourth Proportional to 949.88, 1,426.98 and 911

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Solution

The fourth proportional to 949.88, 1,426.98 and 911 is: 1,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.88 : 1,426.98 = 911 : x
  2. Step 2: Convert to fraction form
    949.88/1,426.98 = 911/x
  3. Step 3: Cross multiply
    949.88x = 1,426.98 × 911
  4. Step 4: Simplify right side
    949.88x = 1,299,978.78
  5. Step 5: Solve for x
    x = 1,299,978.78/949.88
  6. Step 6: Final answer
    x = 1,368.57

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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.