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Finding the Fourth Proportional to 456.12, 681.03 and 451.50

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Solution

The fourth proportional to 456.12, 681.03 and 451.50 is: 674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.12 : 681.03 = 451.50 : x
  2. Step 2: Convert to fraction form
    456.12/681.03 = 451.50/x
  3. Step 3: Cross multiply
    456.12x = 681.03 × 451.50
  4. Step 4: Simplify right side
    456.12x = 307,485.05
  5. Step 5: Solve for x
    x = 307,485.05/456.12
  6. Step 6: Final answer
    x = 674.13

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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.