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Finding the Fourth Proportional to 450.68, 617.88 and 442.48

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Solution

The fourth proportional to 450.68, 617.88 and 442.48 is: 606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.68 : 617.88 = 442.48 : x
  2. Step 2: Convert to fraction form
    450.68/617.88 = 442.48/x
  3. Step 3: Cross multiply
    450.68x = 617.88 × 442.48
  4. Step 4: Simplify right side
    450.68x = 273,399.54
  5. Step 5: Solve for x
    x = 273,399.54/450.68
  6. Step 6: Final answer
    x = 606.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.