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Finding the Fourth Proportional to 640.85, 960.96 and 275.48

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Solution

The fourth proportional to 640.85, 960.96 and 275.48 is: 413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.85 : 960.96 = 275.48 : x
  2. Step 2: Convert to fraction form
    640.85/960.96 = 275.48/x
  3. Step 3: Cross multiply
    640.85x = 960.96 × 275.48
  4. Step 4: Simplify right side
    640.85x = 264,730.50
  5. Step 5: Solve for x
    x = 264,730.50/640.85
  6. Step 6: Final answer
    x = 413.10

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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.