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Finding the Fourth Proportional to 492.17, 674.35 and 485.66

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Solution

The fourth proportional to 492.17, 674.35 and 485.66 is: 665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.17 : 674.35 = 485.66 : x
  2. Step 2: Convert to fraction form
    492.17/674.35 = 485.66/x
  3. Step 3: Cross multiply
    492.17x = 674.35 × 485.66
  4. Step 4: Simplify right side
    492.17x = 327,505.29
  5. Step 5: Solve for x
    x = 327,505.29/492.17
  6. Step 6: Final answer
    x = 665.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.