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Finding the Fourth Proportional to 947.88, 1,423.98 and 909

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Solution

The fourth proportional to 947.88, 1,423.98 and 909 is: 1,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.88 : 1,423.98 = 909 : x
  2. Step 2: Convert to fraction form
    947.88/1,423.98 = 909/x
  3. Step 3: Cross multiply
    947.88x = 1,423.98 × 909
  4. Step 4: Simplify right side
    947.88x = 1,294,397.82
  5. Step 5: Solve for x
    x = 1,294,397.82/947.88
  6. Step 6: Final answer
    x = 1,365.57

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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.