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Finding the Fourth Proportional to 768.45, 1,158.78 and 683.40

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Solution

The fourth proportional to 768.45, 1,158.78 and 683.40 is: 1,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.45 : 1,158.78 = 683.40 : x
  2. Step 2: Convert to fraction form
    768.45/1,158.78 = 683.40/x
  3. Step 3: Cross multiply
    768.45x = 1,158.78 × 683.40
  4. Step 4: Simplify right side
    768.45x = 791,910.25
  5. Step 5: Solve for x
    x = 791,910.25/768.45
  6. Step 6: Final answer
    x = 1,030.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.