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Finding the Fourth Proportional to 703.28, 969.94 and 514.46

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Solution

The fourth proportional to 703.28, 969.94 and 514.46 is: 709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.28 : 969.94 = 514.46 : x
  2. Step 2: Convert to fraction form
    703.28/969.94 = 514.46/x
  3. Step 3: Cross multiply
    703.28x = 969.94 × 514.46
  4. Step 4: Simplify right side
    703.28x = 498,998.40
  5. Step 5: Solve for x
    x = 498,998.40/703.28
  6. Step 6: Final answer
    x = 709.53

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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.