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Finding the Fourth Proportional to 703.66, 969.75 and 548.14

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Solution

The fourth proportional to 703.66, 969.75 and 548.14 is: 755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.66 : 969.75 = 548.14 : x
  2. Step 2: Convert to fraction form
    703.66/969.75 = 548.14/x
  3. Step 3: Cross multiply
    703.66x = 969.75 × 548.14
  4. Step 4: Simplify right side
    703.66x = 531,558.77
  5. Step 5: Solve for x
    x = 531,558.77/703.66
  6. Step 6: Final answer
    x = 755.42

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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.