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Finding the Fourth Proportional to 947.07, 1,424.76 and 811.73

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Solution

The fourth proportional to 947.07, 1,424.76 and 811.73 is: 1,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.07 : 1,424.76 = 811.73 : x
  2. Step 2: Convert to fraction form
    947.07/1,424.76 = 811.73/x
  3. Step 3: Cross multiply
    947.07x = 1,424.76 × 811.73
  4. Step 4: Simplify right side
    947.07x = 1,156,520.43
  5. Step 5: Solve for x
    x = 1,156,520.43/947.07
  6. Step 6: Final answer
    x = 1,221.16

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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.