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Finding the Fourth Proportional to 674.19, 1,010.75 and 263.25

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Solution

The fourth proportional to 674.19, 1,010.75 and 263.25 is: 394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.19 : 1,010.75 = 263.25 : x
  2. Step 2: Convert to fraction form
    674.19/1,010.75 = 263.25/x
  3. Step 3: Cross multiply
    674.19x = 1,010.75 × 263.25
  4. Step 4: Simplify right side
    674.19x = 266,078.62
  5. Step 5: Solve for x
    x = 266,078.62/674.19
  6. Step 6: Final answer
    x = 394.66

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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.