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Finding the Fourth Proportional to 449.66, 671.93 and 337.75

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Solution

The fourth proportional to 449.66, 671.93 and 337.75 is: 504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.66 : 671.93 = 337.75 : x
  2. Step 2: Convert to fraction form
    449.66/671.93 = 337.75/x
  3. Step 3: Cross multiply
    449.66x = 671.93 × 337.75
  4. Step 4: Simplify right side
    449.66x = 226,944.36
  5. Step 5: Solve for x
    x = 226,944.36/449.66
  6. Step 6: Final answer
    x = 504.70

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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.