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Finding the Fourth Proportional to 494.56, 737.46 and 461.05

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Solution

The fourth proportional to 494.56, 737.46 and 461.05 is: 687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.56 : 737.46 = 461.05 : x
  2. Step 2: Convert to fraction form
    494.56/737.46 = 461.05/x
  3. Step 3: Cross multiply
    494.56x = 737.46 × 461.05
  4. Step 4: Simplify right side
    494.56x = 340,005.93
  5. Step 5: Solve for x
    x = 340,005.93/494.56
  6. Step 6: Final answer
    x = 687.49

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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.