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Finding the Fourth Proportional to 674.51, 1,012.20 and 400.73

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Solution

The fourth proportional to 674.51, 1,012.20 and 400.73 is: 601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.51 : 1,012.20 = 400.73 : x
  2. Step 2: Convert to fraction form
    674.51/1,012.20 = 400.73/x
  3. Step 3: Cross multiply
    674.51x = 1,012.20 × 400.73
  4. Step 4: Simplify right side
    674.51x = 405,618.91
  5. Step 5: Solve for x
    x = 405,618.91/674.51
  6. Step 6: Final answer
    x = 601.35

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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.