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Finding the Fourth Proportional to 482.05, 723.38 and 477.95

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Solution

The fourth proportional to 482.05, 723.38 and 477.95 is: 717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.05 : 723.38 = 477.95 : x
  2. Step 2: Convert to fraction form
    482.05/723.38 = 477.95/x
  3. Step 3: Cross multiply
    482.05x = 723.38 × 477.95
  4. Step 4: Simplify right side
    482.05x = 345,740.22
  5. Step 5: Solve for x
    x = 345,740.22/482.05
  6. Step 6: Final answer
    x = 717.23

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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.