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Finding the Fourth Proportional to 883.58, 1,216.88 and 683.67

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Solution

The fourth proportional to 883.58, 1,216.88 and 683.67 is: 941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.58 : 1,216.88 = 683.67 : x
  2. Step 2: Convert to fraction form
    883.58/1,216.88 = 683.67/x
  3. Step 3: Cross multiply
    883.58x = 1,216.88 × 683.67
  4. Step 4: Simplify right side
    883.58x = 831,944.35
  5. Step 5: Solve for x
    x = 831,944.35/883.58
  6. Step 6: Final answer
    x = 941.56

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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.