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Finding the Fourth Proportional to 934.85, 1,289.33 and 822.57

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Solution

The fourth proportional to 934.85, 1,289.33 and 822.57 is: 1,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.85 : 1,289.33 = 822.57 : x
  2. Step 2: Convert to fraction form
    934.85/1,289.33 = 822.57/x
  3. Step 3: Cross multiply
    934.85x = 1,289.33 × 822.57
  4. Step 4: Simplify right side
    934.85x = 1,060,563.15
  5. Step 5: Solve for x
    x = 1,060,563.15/934.85
  6. Step 6: Final answer
    x = 1,134.48

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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.