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Finding the Fourth Proportional to 492.04, 737.14 and 411.24

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Solution

The fourth proportional to 492.04, 737.14 and 411.24 is: 616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.04 : 737.14 = 411.24 : x
  2. Step 2: Convert to fraction form
    492.04/737.14 = 411.24/x
  3. Step 3: Cross multiply
    492.04x = 737.14 × 411.24
  4. Step 4: Simplify right side
    492.04x = 303,141.45
  5. Step 5: Solve for x
    x = 303,141.45/492.04
  6. Step 6: Final answer
    x = 616.09

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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.