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Finding the Fourth Proportional to 463.69, 639.28 and 384.71

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Solution

The fourth proportional to 463.69, 639.28 and 384.71 is: 530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.69 : 639.28 = 384.71 : x
  2. Step 2: Convert to fraction form
    463.69/639.28 = 384.71/x
  3. Step 3: Cross multiply
    463.69x = 639.28 × 384.71
  4. Step 4: Simplify right side
    463.69x = 245,937.41
  5. Step 5: Solve for x
    x = 245,937.41/463.69
  6. Step 6: Final answer
    x = 530.39

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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.