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Finding the Fourth Proportional to 450.69, 672.77 and 416.87

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Solution

The fourth proportional to 450.69, 672.77 and 416.87 is: 622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.69 : 672.77 = 416.87 : x
  2. Step 2: Convert to fraction form
    450.69/672.77 = 416.87/x
  3. Step 3: Cross multiply
    450.69x = 672.77 × 416.87
  4. Step 4: Simplify right side
    450.69x = 280,454.27
  5. Step 5: Solve for x
    x = 280,454.27/450.69
  6. Step 6: Final answer
    x = 622.28

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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.