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Finding the Fourth Proportional to 454.44, 678.22 and 410.70

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Solution

The fourth proportional to 454.44, 678.22 and 410.70 is: 612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.44 : 678.22 = 410.70 : x
  2. Step 2: Convert to fraction form
    454.44/678.22 = 410.70/x
  3. Step 3: Cross multiply
    454.44x = 678.22 × 410.70
  4. Step 4: Simplify right side
    454.44x = 278,544.95
  5. Step 5: Solve for x
    x = 278,544.95/454.44
  6. Step 6: Final answer
    x = 612.94

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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.