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Finding the Fourth Proportional to 947.99, 1,422.80 and 371.27

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Solution

The fourth proportional to 947.99, 1,422.80 and 371.27 is: 557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.99 : 1,422.80 = 371.27 : x
  2. Step 2: Convert to fraction form
    947.99/1,422.80 = 371.27/x
  3. Step 3: Cross multiply
    947.99x = 1,422.80 × 371.27
  4. Step 4: Simplify right side
    947.99x = 528,242.96
  5. Step 5: Solve for x
    x = 528,242.96/947.99
  6. Step 6: Final answer
    x = 557.22

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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.