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Finding the Fourth Proportional to 492.87, 738.63 and 384.69

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Solution

The fourth proportional to 492.87, 738.63 and 384.69 is: 576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.87 : 738.63 = 384.69 : x
  2. Step 2: Convert to fraction form
    492.87/738.63 = 384.69/x
  3. Step 3: Cross multiply
    492.87x = 738.63 × 384.69
  4. Step 4: Simplify right side
    492.87x = 284,143.57
  5. Step 5: Solve for x
    x = 284,143.57/492.87
  6. Step 6: Final answer
    x = 576.51

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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.