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Finding the Fourth Proportional to 492.73, 736.11 and 317.98

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Solution

The fourth proportional to 492.73, 736.11 and 317.98 is: 475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.73 : 736.11 = 317.98 : x
  2. Step 2: Convert to fraction form
    492.73/736.11 = 317.98/x
  3. Step 3: Cross multiply
    492.73x = 736.11 × 317.98
  4. Step 4: Simplify right side
    492.73x = 234,065.93
  5. Step 5: Solve for x
    x = 234,065.93/492.73
  6. Step 6: Final answer
    x = 475.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.