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Finding the Fourth Proportional to 459.75, 687.90 and 323.07

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Solution

The fourth proportional to 459.75, 687.90 and 323.07 is: 483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.75 : 687.90 = 323.07 : x
  2. Step 2: Convert to fraction form
    459.75/687.90 = 323.07/x
  3. Step 3: Cross multiply
    459.75x = 687.90 × 323.07
  4. Step 4: Simplify right side
    459.75x = 222,239.85
  5. Step 5: Solve for x
    x = 222,239.85/459.75
  6. Step 6: Final answer
    x = 483.39

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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.