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Finding the Fourth Proportional to 674.51, 930.96 and 628.34

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Solution

The fourth proportional to 674.51, 930.96 and 628.34 is: 867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.51 : 930.96 = 628.34 : x
  2. Step 2: Convert to fraction form
    674.51/930.96 = 628.34/x
  3. Step 3: Cross multiply
    674.51x = 930.96 × 628.34
  4. Step 4: Simplify right side
    674.51x = 584,954.75
  5. Step 5: Solve for x
    x = 584,954.75/674.51
  6. Step 6: Final answer
    x = 867.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.