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Finding the Fourth Proportional to 947.56, 1,423.26 and 913

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Solution

The fourth proportional to 947.56, 1,423.26 and 913 is: 1,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.56 : 1,423.26 = 913 : x
  2. Step 2: Convert to fraction form
    947.56/1,423.26 = 913/x
  3. Step 3: Cross multiply
    947.56x = 1,423.26 × 913
  4. Step 4: Simplify right side
    947.56x = 1,299,436.38
  5. Step 5: Solve for x
    x = 1,299,436.38/947.56
  6. Step 6: Final answer
    x = 1,371.35

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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.