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Finding the Fourth Proportional to 456.54, 681.49 and 422.70

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Solution

The fourth proportional to 456.54, 681.49 and 422.70 is: 630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.54 : 681.49 = 422.70 : x
  2. Step 2: Convert to fraction form
    456.54/681.49 = 422.70/x
  3. Step 3: Cross multiply
    456.54x = 681.49 × 422.70
  4. Step 4: Simplify right side
    456.54x = 288,065.82
  5. Step 5: Solve for x
    x = 288,065.82/456.54
  6. Step 6: Final answer
    x = 630.98

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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.