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Finding the Fourth Proportional to 416.68, 623.82 and 320.68

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Solution

The fourth proportional to 416.68, 623.82 and 320.68 is: 480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.68 : 623.82 = 320.68 : x
  2. Step 2: Convert to fraction form
    416.68/623.82 = 320.68/x
  3. Step 3: Cross multiply
    416.68x = 623.82 × 320.68
  4. Step 4: Simplify right side
    416.68x = 200,046.60
  5. Step 5: Solve for x
    x = 200,046.60/416.68
  6. Step 6: Final answer
    x = 480.10

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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.