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Finding the Fourth Proportional to 492.32, 738.47 and 485.94

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Solution

The fourth proportional to 492.32, 738.47 and 485.94 is: 728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.32 : 738.47 = 485.94 : x
  2. Step 2: Convert to fraction form
    492.32/738.47 = 485.94/x
  3. Step 3: Cross multiply
    492.32x = 738.47 × 485.94
  4. Step 4: Simplify right side
    492.32x = 358,850.56
  5. Step 5: Solve for x
    x = 358,850.56/492.32
  6. Step 6: Final answer
    x = 728.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.