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Finding the Fourth Proportional to 463.78, 640.12 and 286.89

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Solution

The fourth proportional to 463.78, 640.12 and 286.89 is: 395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.78 : 640.12 = 286.89 : x
  2. Step 2: Convert to fraction form
    463.78/640.12 = 286.89/x
  3. Step 3: Cross multiply
    463.78x = 640.12 × 286.89
  4. Step 4: Simplify right side
    463.78x = 183,643.84
  5. Step 5: Solve for x
    x = 183,643.84/463.78
  6. Step 6: Final answer
    x = 395.98

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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.