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Finding the Fourth Proportional to 451.68, 674.27 and 417.87

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Solution

The fourth proportional to 451.68, 674.27 and 417.87 is: 623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.68 : 674.27 = 417.87 : x
  2. Step 2: Convert to fraction form
    451.68/674.27 = 417.87/x
  3. Step 3: Cross multiply
    451.68x = 674.27 × 417.87
  4. Step 4: Simplify right side
    451.68x = 281,755.12
  5. Step 5: Solve for x
    x = 281,755.12/451.68
  6. Step 6: Final answer
    x = 623.79

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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.