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Finding the Fourth Proportional to 495.44, 743 and 275.98

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Solution

The fourth proportional to 495.44, 743 and 275.98 is: 413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.44 : 743 = 275.98 : x
  2. Step 2: Convert to fraction form
    495.44/743 = 275.98/x
  3. Step 3: Cross multiply
    495.44x = 743 × 275.98
  4. Step 4: Simplify right side
    495.44x = 205,053.14
  5. Step 5: Solve for x
    x = 205,053.14/495.44
  6. Step 6: Final answer
    x = 413.88

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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.