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Finding the Fourth Proportional to 459.11, 633.39 and 334.54

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Solution

The fourth proportional to 459.11, 633.39 and 334.54 is: 461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.11 : 633.39 = 334.54 : x
  2. Step 2: Convert to fraction form
    459.11/633.39 = 334.54/x
  3. Step 3: Cross multiply
    459.11x = 633.39 × 334.54
  4. Step 4: Simplify right side
    459.11x = 211,893.83
  5. Step 5: Solve for x
    x = 211,893.83/459.11
  6. Step 6: Final answer
    x = 461.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.