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Finding the Fourth Proportional to 450.79, 621.84 and 310.66

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Solution

The fourth proportional to 450.79, 621.84 and 310.66 is: 428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.79 : 621.84 = 310.66 : x
  2. Step 2: Convert to fraction form
    450.79/621.84 = 310.66/x
  3. Step 3: Cross multiply
    450.79x = 621.84 × 310.66
  4. Step 4: Simplify right side
    450.79x = 193,180.42
  5. Step 5: Solve for x
    x = 193,180.42/450.79
  6. Step 6: Final answer
    x = 428.54

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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.