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Finding the Fourth Proportional to 452.23, 677.06 and 408.98

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Solution

The fourth proportional to 452.23, 677.06 and 408.98 is: 612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.23 : 677.06 = 408.98 : x
  2. Step 2: Convert to fraction form
    452.23/677.06 = 408.98/x
  3. Step 3: Cross multiply
    452.23x = 677.06 × 408.98
  4. Step 4: Simplify right side
    452.23x = 276,905.18
  5. Step 5: Solve for x
    x = 276,905.18/452.23
  6. Step 6: Final answer
    x = 612.31

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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.