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Finding the Fourth Proportional to 450.66, 621.96 and 422.85

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Solution

The fourth proportional to 450.66, 621.96 and 422.85 is: 583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.66 : 621.96 = 422.85 : x
  2. Step 2: Convert to fraction form
    450.66/621.96 = 422.85/x
  3. Step 3: Cross multiply
    450.66x = 621.96 × 422.85
  4. Step 4: Simplify right side
    450.66x = 262,995.79
  5. Step 5: Solve for x
    x = 262,995.79/450.66
  6. Step 6: Final answer
    x = 583.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.