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Finding the Fourth Proportional to 483.49, 723.65 and 263.78

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Solution

The fourth proportional to 483.49, 723.65 and 263.78 is: 394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.49 : 723.65 = 263.78 : x
  2. Step 2: Convert to fraction form
    483.49/723.65 = 263.78/x
  3. Step 3: Cross multiply
    483.49x = 723.65 × 263.78
  4. Step 4: Simplify right side
    483.49x = 190,884.40
  5. Step 5: Solve for x
    x = 190,884.40/483.49
  6. Step 6: Final answer
    x = 394.81

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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.