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Finding the Fourth Proportional to 459.48, 633.72 and 335.55

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Solution

The fourth proportional to 459.48, 633.72 and 335.55 is: 462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.48 : 633.72 = 335.55 : x
  2. Step 2: Convert to fraction form
    459.48/633.72 = 335.55/x
  3. Step 3: Cross multiply
    459.48x = 633.72 × 335.55
  4. Step 4: Simplify right side
    459.48x = 212,644.75
  5. Step 5: Solve for x
    x = 212,644.75/459.48
  6. Step 6: Final answer
    x = 462.79

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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.