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Finding the Fourth Proportional to 483.46, 723.81 and 320.82

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Solution

The fourth proportional to 483.46, 723.81 and 320.82 is: 480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.46 : 723.81 = 320.82 : x
  2. Step 2: Convert to fraction form
    483.46/723.81 = 320.82/x
  3. Step 3: Cross multiply
    483.46x = 723.81 × 320.82
  4. Step 4: Simplify right side
    483.46x = 232,212.72
  5. Step 5: Solve for x
    x = 232,212.72/483.46
  6. Step 6: Final answer
    x = 480.31

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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.