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Finding the Fourth Proportional to 947.94, 1,308.32 and 873.82

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Solution

The fourth proportional to 947.94, 1,308.32 and 873.82 is: 1,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.94 : 1,308.32 = 873.82 : x
  2. Step 2: Convert to fraction form
    947.94/1,308.32 = 873.82/x
  3. Step 3: Cross multiply
    947.94x = 1,308.32 × 873.82
  4. Step 4: Simplify right side
    947.94x = 1,143,236.18
  5. Step 5: Solve for x
    x = 1,143,236.18/947.94
  6. Step 6: Final answer
    x = 1,206.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.