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Finding the Fourth Proportional to 674.18, 930.83 and 516.53

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Solution

The fourth proportional to 674.18, 930.83 and 516.53 is: 713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.18 : 930.83 = 516.53 : x
  2. Step 2: Convert to fraction form
    674.18/930.83 = 516.53/x
  3. Step 3: Cross multiply
    674.18x = 930.83 × 516.53
  4. Step 4: Simplify right side
    674.18x = 480,801.62
  5. Step 5: Solve for x
    x = 480,801.62/674.18
  6. Step 6: Final answer
    x = 713.17

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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.