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Finding the Fourth Proportional to 947.38, 1,423.23 and 908.50

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Solution

The fourth proportional to 947.38, 1,423.23 and 908.50 is: 1,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.38 : 1,423.23 = 908.50 : x
  2. Step 2: Convert to fraction form
    947.38/1,423.23 = 908.50/x
  3. Step 3: Cross multiply
    947.38x = 1,423.23 × 908.50
  4. Step 4: Simplify right side
    947.38x = 1,293,004.46
  5. Step 5: Solve for x
    x = 1,293,004.46/947.38
  6. Step 6: Final answer
    x = 1,364.82

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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.