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Finding the Fourth Proportional to 453.60, 676.65 and 407.43

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Solution

The fourth proportional to 453.60, 676.65 and 407.43 is: 607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.60 : 676.65 = 407.43 : x
  2. Step 2: Convert to fraction form
    453.60/676.65 = 407.43/x
  3. Step 3: Cross multiply
    453.60x = 676.65 × 407.43
  4. Step 4: Simplify right side
    453.60x = 275,689.04
  5. Step 5: Solve for x
    x = 275,689.04/453.60
  6. Step 6: Final answer
    x = 607.78

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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.