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Finding the Fourth Proportional to 454.33, 684.11 and 403.30

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Solution

The fourth proportional to 454.33, 684.11 and 403.30 is: 607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.33 : 684.11 = 403.30 : x
  2. Step 2: Convert to fraction form
    454.33/684.11 = 403.30/x
  3. Step 3: Cross multiply
    454.33x = 684.11 × 403.30
  4. Step 4: Simplify right side
    454.33x = 275,901.56
  5. Step 5: Solve for x
    x = 275,901.56/454.33
  6. Step 6: Final answer
    x = 607.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.