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Finding the Fourth Proportional to 454.21, 680.02 and 425.51

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Solution

The fourth proportional to 454.21, 680.02 and 425.51 is: 637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.21 : 680.02 = 425.51 : x
  2. Step 2: Convert to fraction form
    454.21/680.02 = 425.51/x
  3. Step 3: Cross multiply
    454.21x = 680.02 × 425.51
  4. Step 4: Simplify right side
    454.21x = 289,355.31
  5. Step 5: Solve for x
    x = 289,355.31/454.21
  6. Step 6: Final answer
    x = 637.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.