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Finding the Fourth Proportional to 417.68, 625.32 and 321.68

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Solution

The fourth proportional to 417.68, 625.32 and 321.68 is: 481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.68 : 625.32 = 321.68 : x
  2. Step 2: Convert to fraction form
    417.68/625.32 = 321.68/x
  3. Step 3: Cross multiply
    417.68x = 625.32 × 321.68
  4. Step 4: Simplify right side
    417.68x = 201,152.94
  5. Step 5: Solve for x
    x = 201,152.94/417.68
  6. Step 6: Final answer
    x = 481.60

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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.