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Finding the Fourth Proportional to 856.94, 1,283.34 and 694.94

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Solution

The fourth proportional to 856.94, 1,283.34 and 694.94 is: 1,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.94 : 1,283.34 = 694.94 : x
  2. Step 2: Convert to fraction form
    856.94/1,283.34 = 694.94/x
  3. Step 3: Cross multiply
    856.94x = 1,283.34 × 694.94
  4. Step 4: Simplify right side
    856.94x = 891,844.30
  5. Step 5: Solve for x
    x = 891,844.30/856.94
  6. Step 6: Final answer
    x = 1,040.73

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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.