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Finding the Fourth Proportional to 492.48, 742.46 and 466.02

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Solution

The fourth proportional to 492.48, 742.46 and 466.02 is: 702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.48 : 742.46 = 466.02 : x
  2. Step 2: Convert to fraction form
    492.48/742.46 = 466.02/x
  3. Step 3: Cross multiply
    492.48x = 742.46 × 466.02
  4. Step 4: Simplify right side
    492.48x = 345,998.88
  5. Step 5: Solve for x
    x = 345,998.88/492.48
  6. Step 6: Final answer
    x = 702.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.