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Finding the Fourth Proportional to 453.84, 677.94 and 412.83

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Solution

The fourth proportional to 453.84, 677.94 and 412.83 is: 616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.84 : 677.94 = 412.83 : x
  2. Step 2: Convert to fraction form
    453.84/677.94 = 412.83/x
  3. Step 3: Cross multiply
    453.84x = 677.94 × 412.83
  4. Step 4: Simplify right side
    453.84x = 279,872.42
  5. Step 5: Solve for x
    x = 279,872.42/453.84
  6. Step 6: Final answer
    x = 616.68

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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.