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Finding the Fourth Proportional to 703.18, 969.78 and 454.42

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Solution

The fourth proportional to 703.18, 969.78 and 454.42 is: 626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.18 : 969.78 = 454.42 : x
  2. Step 2: Convert to fraction form
    703.18/969.78 = 454.42/x
  3. Step 3: Cross multiply
    703.18x = 969.78 × 454.42
  4. Step 4: Simplify right side
    703.18x = 440,687.43
  5. Step 5: Solve for x
    x = 440,687.43/703.18
  6. Step 6: Final answer
    x = 626.71

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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.