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Finding the Fourth Proportional to 463.96, 639.39 and 332.74

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Solution

The fourth proportional to 463.96, 639.39 and 332.74 is: 458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.96 : 639.39 = 332.74 : x
  2. Step 2: Convert to fraction form
    463.96/639.39 = 332.74/x
  3. Step 3: Cross multiply
    463.96x = 639.39 × 332.74
  4. Step 4: Simplify right side
    463.96x = 212,750.63
  5. Step 5: Solve for x
    x = 212,750.63/463.96
  6. Step 6: Final answer
    x = 458.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.