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Finding the Fourth Proportional to 674.96, 931.82 and 488.25

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Solution

The fourth proportional to 674.96, 931.82 and 488.25 is: 674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.96 : 931.82 = 488.25 : x
  2. Step 2: Convert to fraction form
    674.96/931.82 = 488.25/x
  3. Step 3: Cross multiply
    674.96x = 931.82 × 488.25
  4. Step 4: Simplify right side
    674.96x = 454,958.67
  5. Step 5: Solve for x
    x = 454,958.67/674.96
  6. Step 6: Final answer
    x = 674.06

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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.