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Finding the Fourth Proportional to 463.28, 639 and 332

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Solution

The fourth proportional to 463.28, 639 and 332 is: 457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.28 : 639 = 332 : x
  2. Step 2: Convert to fraction form
    463.28/639 = 332/x
  3. Step 3: Cross multiply
    463.28x = 639 × 332
  4. Step 4: Simplify right side
    463.28x = 212,148
  5. Step 5: Solve for x
    x = 212,148/463.28
  6. Step 6: Final answer
    x = 457.93

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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.