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Finding the Fourth Proportional to 703.51, 964.78 and 695.41

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Solution

The fourth proportional to 703.51, 964.78 and 695.41 is: 953.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.51 : 964.78 = 695.41 : x
  2. Step 2: Convert to fraction form
    703.51/964.78 = 695.41/x
  3. Step 3: Cross multiply
    703.51x = 964.78 × 695.41
  4. Step 4: Simplify right side
    703.51x = 670,917.66
  5. Step 5: Solve for x
    x = 670,917.66/703.51
  6. Step 6: Final answer
    x = 953.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.