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Finding the Fourth Proportional to 703.28, 969.96 and 454.48

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Solution

The fourth proportional to 703.28, 969.96 and 454.48 is: 626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.28 : 969.96 = 454.48 : x
  2. Step 2: Convert to fraction form
    703.28/969.96 = 454.48/x
  3. Step 3: Cross multiply
    703.28x = 969.96 × 454.48
  4. Step 4: Simplify right side
    703.28x = 440,827.42
  5. Step 5: Solve for x
    x = 440,827.42/703.28
  6. Step 6: Final answer
    x = 626.82

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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.