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Finding the Fourth Proportional to 463.96, 638.40 and 453.02

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Solution

The fourth proportional to 463.96, 638.40 and 453.02 is: 623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.96 : 638.40 = 453.02 : x
  2. Step 2: Convert to fraction form
    463.96/638.40 = 453.02/x
  3. Step 3: Cross multiply
    463.96x = 638.40 × 453.02
  4. Step 4: Simplify right side
    463.96x = 289,207.97
  5. Step 5: Solve for x
    x = 289,207.97/463.96
  6. Step 6: Final answer
    x = 623.35

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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.