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Finding the Fourth Proportional to 703.79, 969.34 and 659.67

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Solution

The fourth proportional to 703.79, 969.34 and 659.67 is: 908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.79 : 969.34 = 659.67 : x
  2. Step 2: Convert to fraction form
    703.79/969.34 = 659.67/x
  3. Step 3: Cross multiply
    703.79x = 969.34 × 659.67
  4. Step 4: Simplify right side
    703.79x = 639,445.05
  5. Step 5: Solve for x
    x = 639,445.05/703.79
  6. Step 6: Final answer
    x = 908.58

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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.