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Finding the Fourth Proportional to 463.48, 639.72 and 286.59

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Solution

The fourth proportional to 463.48, 639.72 and 286.59 is: 395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.48 : 639.72 = 286.59 : x
  2. Step 2: Convert to fraction form
    463.48/639.72 = 286.59/x
  3. Step 3: Cross multiply
    463.48x = 639.72 × 286.59
  4. Step 4: Simplify right side
    463.48x = 183,339.75
  5. Step 5: Solve for x
    x = 183,339.75/463.48
  6. Step 6: Final answer
    x = 395.57

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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.