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Finding the Fourth Proportional to 450.70, 677.21 and 424.47

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Solution

The fourth proportional to 450.70, 677.21 and 424.47 is: 637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.70 : 677.21 = 424.47 : x
  2. Step 2: Convert to fraction form
    450.70/677.21 = 424.47/x
  3. Step 3: Cross multiply
    450.70x = 677.21 × 424.47
  4. Step 4: Simplify right side
    450.70x = 287,455.33
  5. Step 5: Solve for x
    x = 287,455.33/450.70
  6. Step 6: Final answer
    x = 637.80

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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.