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Finding the Fourth Proportional to 463.85, 639.09 and 404.39

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Solution

The fourth proportional to 463.85, 639.09 and 404.39 is: 557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.85 : 639.09 = 404.39 : x
  2. Step 2: Convert to fraction form
    463.85/639.09 = 404.39/x
  3. Step 3: Cross multiply
    463.85x = 639.09 × 404.39
  4. Step 4: Simplify right side
    463.85x = 258,443.20
  5. Step 5: Solve for x
    x = 258,443.20/463.85
  6. Step 6: Final answer
    x = 557.17

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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.