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Finding the Fourth Proportional to 701.85, 969.21 and 453.62

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Solution

The fourth proportional to 701.85, 969.21 and 453.62 is: 626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.85 : 969.21 = 453.62 : x
  2. Step 2: Convert to fraction form
    701.85/969.21 = 453.62/x
  3. Step 3: Cross multiply
    701.85x = 969.21 × 453.62
  4. Step 4: Simplify right side
    701.85x = 439,648.19
  5. Step 5: Solve for x
    x = 439,648.19/701.85
  6. Step 6: Final answer
    x = 626.41

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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.