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Finding the Fourth Proportional to 705.27, 1,055.74 and 635.56

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Solution

The fourth proportional to 705.27, 1,055.74 and 635.56 is: 951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.27 : 1,055.74 = 635.56 : x
  2. Step 2: Convert to fraction form
    705.27/1,055.74 = 635.56/x
  3. Step 3: Cross multiply
    705.27x = 1,055.74 × 635.56
  4. Step 4: Simplify right side
    705.27x = 670,977.66
  5. Step 5: Solve for x
    x = 670,977.66/705.27
  6. Step 6: Final answer
    x = 951.38

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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.