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Finding the Fourth Proportional to 454.87, 680.97 and 407.98

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Solution

The fourth proportional to 454.87, 680.97 and 407.98 is: 610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.87 : 680.97 = 407.98 : x
  2. Step 2: Convert to fraction form
    454.87/680.97 = 407.98/x
  3. Step 3: Cross multiply
    454.87x = 680.97 × 407.98
  4. Step 4: Simplify right side
    454.87x = 277,822.14
  5. Step 5: Solve for x
    x = 277,822.14/454.87
  6. Step 6: Final answer
    x = 610.77

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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.