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Finding the Fourth Proportional to 842.84, 1,263.12 and 660.29

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Solution

The fourth proportional to 842.84, 1,263.12 and 660.29 is: 989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.84 : 1,263.12 = 660.29 : x
  2. Step 2: Convert to fraction form
    842.84/1,263.12 = 660.29/x
  3. Step 3: Cross multiply
    842.84x = 1,263.12 × 660.29
  4. Step 4: Simplify right side
    842.84x = 834,025.50
  5. Step 5: Solve for x
    x = 834,025.50/842.84
  6. Step 6: Final answer
    x = 989.54

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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.