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Finding the Fourth Proportional to 635, 951.78 and 480.43

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Solution

The fourth proportional to 635, 951.78 and 480.43 is: 720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    635 : 951.78 = 480.43 : x
  2. Step 2: Convert to fraction form
    635/951.78 = 480.43/x
  3. Step 3: Cross multiply
    635x = 951.78 × 480.43
  4. Step 4: Simplify right side
    635x = 457,263.67
  5. Step 5: Solve for x
    x = 457,263.67/635
  6. Step 6: Final answer
    x = 720.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.