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Finding the Fourth Proportional to 674.28, 930.66 and 453.87

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Solution

The fourth proportional to 674.28, 930.66 and 453.87 is: 626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.28 : 930.66 = 453.87 : x
  2. Step 2: Convert to fraction form
    674.28/930.66 = 453.87/x
  3. Step 3: Cross multiply
    674.28x = 930.66 × 453.87
  4. Step 4: Simplify right side
    674.28x = 422,398.65
  5. Step 5: Solve for x
    x = 422,398.65/674.28
  6. Step 6: Final answer
    x = 626.44

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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.