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Finding the Fourth Proportional to 463.63, 636.46 and 398.02

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Solution

The fourth proportional to 463.63, 636.46 and 398.02 is: 546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.63 : 636.46 = 398.02 : x
  2. Step 2: Convert to fraction form
    463.63/636.46 = 398.02/x
  3. Step 3: Cross multiply
    463.63x = 636.46 × 398.02
  4. Step 4: Simplify right side
    463.63x = 253,323.81
  5. Step 5: Solve for x
    x = 253,323.81/463.63
  6. Step 6: Final answer
    x = 546.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.