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Finding the Fourth Proportional to 455.95, 680.72 and 412.90

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Solution

The fourth proportional to 455.95, 680.72 and 412.90 is: 616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.95 : 680.72 = 412.90 : x
  2. Step 2: Convert to fraction form
    455.95/680.72 = 412.90/x
  3. Step 3: Cross multiply
    455.95x = 680.72 × 412.90
  4. Step 4: Simplify right side
    455.95x = 281,067.84
  5. Step 5: Solve for x
    x = 281,067.84/455.95
  6. Step 6: Final answer
    x = 616.45

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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.