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Finding the Fourth Proportional to 635.54, 951.74 and 517.91

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Solution

The fourth proportional to 635.54, 951.74 and 517.91 is: 775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.54 : 951.74 = 517.91 : x
  2. Step 2: Convert to fraction form
    635.54/951.74 = 517.91/x
  3. Step 3: Cross multiply
    635.54x = 951.74 × 517.91
  4. Step 4: Simplify right side
    635.54x = 492,908.32
  5. Step 5: Solve for x
    x = 492,908.32/635.54
  6. Step 6: Final answer
    x = 775.58

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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.