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Finding the Fourth Proportional to 674.51, 930.75 and 379.81

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Solution

The fourth proportional to 674.51, 930.75 and 379.81 is: 524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.51 : 930.75 = 379.81 : x
  2. Step 2: Convert to fraction form
    674.51/930.75 = 379.81/x
  3. Step 3: Cross multiply
    674.51x = 930.75 × 379.81
  4. Step 4: Simplify right side
    674.51x = 353,503.50
  5. Step 5: Solve for x
    x = 353,503.50/674.51
  6. Step 6: Final answer
    x = 524.09

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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.