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Finding the Fourth Proportional to 450.79, 622.17 and 430.27

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Solution

The fourth proportional to 450.79, 622.17 and 430.27 is: 593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.79 : 622.17 = 430.27 : x
  2. Step 2: Convert to fraction form
    450.79/622.17 = 430.27/x
  3. Step 3: Cross multiply
    450.79x = 622.17 × 430.27
  4. Step 4: Simplify right side
    450.79x = 267,701.09
  5. Step 5: Solve for x
    x = 267,701.09/450.79
  6. Step 6: Final answer
    x = 593.85

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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.