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Finding the Fourth Proportional to 483.04, 723.56 and 320.80

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Solution

The fourth proportional to 483.04, 723.56 and 320.80 is: 480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.04 : 723.56 = 320.80 : x
  2. Step 2: Convert to fraction form
    483.04/723.56 = 320.80/x
  3. Step 3: Cross multiply
    483.04x = 723.56 × 320.80
  4. Step 4: Simplify right side
    483.04x = 232,118.05
  5. Step 5: Solve for x
    x = 232,118.05/483.04
  6. Step 6: Final answer
    x = 480.54

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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.