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Finding the Fourth Proportional to 453.71, 681.08 and 451.73

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Solution

The fourth proportional to 453.71, 681.08 and 451.73 is: 678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.71 : 681.08 = 451.73 : x
  2. Step 2: Convert to fraction form
    453.71/681.08 = 451.73/x
  3. Step 3: Cross multiply
    453.71x = 681.08 × 451.73
  4. Step 4: Simplify right side
    453.71x = 307,658.60
  5. Step 5: Solve for x
    x = 307,658.60/453.71
  6. Step 6: Final answer
    x = 678.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.