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Finding the Fourth Proportional to 454.95, 677.84 and 450.39

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Solution

The fourth proportional to 454.95, 677.84 and 450.39 is: 671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.95 : 677.84 = 450.39 : x
  2. Step 2: Convert to fraction form
    454.95/677.84 = 450.39/x
  3. Step 3: Cross multiply
    454.95x = 677.84 × 450.39
  4. Step 4: Simplify right side
    454.95x = 305,292.36
  5. Step 5: Solve for x
    x = 305,292.36/454.95
  6. Step 6: Final answer
    x = 671.05

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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.