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Finding the Fourth Proportional to 538.37, 743.22 and 450.89

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Solution

The fourth proportional to 538.37, 743.22 and 450.89 is: 622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.37 : 743.22 = 450.89 : x
  2. Step 2: Convert to fraction form
    538.37/743.22 = 450.89/x
  3. Step 3: Cross multiply
    538.37x = 743.22 × 450.89
  4. Step 4: Simplify right side
    538.37x = 335,106.75
  5. Step 5: Solve for x
    x = 335,106.75/538.37
  6. Step 6: Final answer
    x = 622.45

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1.5x scale

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.