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Finding the Fourth Proportional to 450.45, 672.64 and 424.82

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Solution

The fourth proportional to 450.45, 672.64 and 424.82 is: 634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.45 : 672.64 = 424.82 : x
  2. Step 2: Convert to fraction form
    450.45/672.64 = 424.82/x
  3. Step 3: Cross multiply
    450.45x = 672.64 × 424.82
  4. Step 4: Simplify right side
    450.45x = 285,750.92
  5. Step 5: Solve for x
    x = 285,750.92/450.45
  6. Step 6: Final answer
    x = 634.37

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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.