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Finding the Fourth Proportional to 456.29, 681.12 and 422.45

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Solution

The fourth proportional to 456.29, 681.12 and 422.45 is: 630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.29 : 681.12 = 422.45 : x
  2. Step 2: Convert to fraction form
    456.29/681.12 = 422.45/x
  3. Step 3: Cross multiply
    456.29x = 681.12 × 422.45
  4. Step 4: Simplify right side
    456.29x = 287,739.14
  5. Step 5: Solve for x
    x = 287,739.14/456.29
  6. Step 6: Final answer
    x = 630.61

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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.