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Finding the Fourth Proportional to 674.31, 930.86 and 499.96

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Solution

The fourth proportional to 674.31, 930.86 and 499.96 is: 690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.31 : 930.86 = 499.96 : x
  2. Step 2: Convert to fraction form
    674.31/930.86 = 499.96/x
  3. Step 3: Cross multiply
    674.31x = 930.86 × 499.96
  4. Step 4: Simplify right side
    674.31x = 465,390.27
  5. Step 5: Solve for x
    x = 465,390.27/674.31
  6. Step 6: Final answer
    x = 690.17

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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.