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Finding the Fourth Proportional to 494.48, 737.66 and 421.88

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Solution

The fourth proportional to 494.48, 737.66 and 421.88 is: 629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.48 : 737.66 = 421.88 : x
  2. Step 2: Convert to fraction form
    494.48/737.66 = 421.88/x
  3. Step 3: Cross multiply
    494.48x = 737.66 × 421.88
  4. Step 4: Simplify right side
    494.48x = 311,204.00
  5. Step 5: Solve for x
    x = 311,204.00/494.48
  6. Step 6: Final answer
    x = 629.36

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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.