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Finding the Fourth Proportional to 459.52, 633.42 and 379.88

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Solution

The fourth proportional to 459.52, 633.42 and 379.88 is: 523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.52 : 633.42 = 379.88 : x
  2. Step 2: Convert to fraction form
    459.52/633.42 = 379.88/x
  3. Step 3: Cross multiply
    459.52x = 633.42 × 379.88
  4. Step 4: Simplify right side
    459.52x = 240,623.59
  5. Step 5: Solve for x
    x = 240,623.59/459.52
  6. Step 6: Final answer
    x = 523.64

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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.