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Finding the Fourth Proportional to 488.24, 727.84 and 482.80

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Solution

The fourth proportional to 488.24, 727.84 and 482.80 is: 719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.24 : 727.84 = 482.80 : x
  2. Step 2: Convert to fraction form
    488.24/727.84 = 482.80/x
  3. Step 3: Cross multiply
    488.24x = 727.84 × 482.80
  4. Step 4: Simplify right side
    488.24x = 351,401.15
  5. Step 5: Solve for x
    x = 351,401.15/488.24
  6. Step 6: Final answer
    x = 719.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.