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Finding the Fourth Proportional to 453.72, 677.01 and 405.12

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Solution

The fourth proportional to 453.72, 677.01 and 405.12 is: 604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.72 : 677.01 = 405.12 : x
  2. Step 2: Convert to fraction form
    453.72/677.01 = 405.12/x
  3. Step 3: Cross multiply
    453.72x = 677.01 × 405.12
  4. Step 4: Simplify right side
    453.72x = 274,270.29
  5. Step 5: Solve for x
    x = 274,270.29/453.72
  6. Step 6: Final answer
    x = 604.49

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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.