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Finding the Fourth Proportional to 492.17, 738.36 and 411.58

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Solution

The fourth proportional to 492.17, 738.36 and 411.58 is: 617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.17 : 738.36 = 411.58 : x
  2. Step 2: Convert to fraction form
    492.17/738.36 = 411.58/x
  3. Step 3: Cross multiply
    492.17x = 738.36 × 411.58
  4. Step 4: Simplify right side
    492.17x = 303,890.98
  5. Step 5: Solve for x
    x = 303,890.98/492.17
  6. Step 6: Final answer
    x = 617.45

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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.