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Finding the Fourth Proportional to 459.82, 690.62 and 394.08

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Solution

The fourth proportional to 459.82, 690.62 and 394.08 is: 591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.82 : 690.62 = 394.08 : x
  2. Step 2: Convert to fraction form
    459.82/690.62 = 394.08/x
  3. Step 3: Cross multiply
    459.82x = 690.62 × 394.08
  4. Step 4: Simplify right side
    459.82x = 272,157.56
  5. Step 5: Solve for x
    x = 272,157.56/459.82
  6. Step 6: Final answer
    x = 591.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.