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Finding the Fourth Proportional to 483.20, 728.80 and 451.20

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Solution

The fourth proportional to 483.20, 728.80 and 451.20 is: 680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.20 : 728.80 = 451.20 : x
  2. Step 2: Convert to fraction form
    483.20/728.80 = 451.20/x
  3. Step 3: Cross multiply
    483.20x = 728.80 × 451.20
  4. Step 4: Simplify right side
    483.20x = 328,834.56
  5. Step 5: Solve for x
    x = 328,834.56/483.20
  6. Step 6: Final answer
    x = 680.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.