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Finding the Fourth Proportional to 497.13, 739.43 and 453.30

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Solution

The fourth proportional to 497.13, 739.43 and 453.30 is: 674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.13 : 739.43 = 453.30 : x
  2. Step 2: Convert to fraction form
    497.13/739.43 = 453.30/x
  3. Step 3: Cross multiply
    497.13x = 739.43 × 453.30
  4. Step 4: Simplify right side
    497.13x = 335,181.35
  5. Step 5: Solve for x
    x = 335,181.35/497.13
  6. Step 6: Final answer
    x = 674.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.