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Finding the Fourth Proportional to 463.78, 639.75 and 289

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Solution

The fourth proportional to 463.78, 639.75 and 289 is: 398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.78 : 639.75 = 289 : x
  2. Step 2: Convert to fraction form
    463.78/639.75 = 289/x
  3. Step 3: Cross multiply
    463.78x = 639.75 × 289
  4. Step 4: Simplify right side
    463.78x = 184,887.75
  5. Step 5: Solve for x
    x = 184,887.75/463.78
  6. Step 6: Final answer
    x = 398.65

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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.