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Finding the Fourth Proportional to 459.59, 687.87 and 443.52

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Solution

The fourth proportional to 459.59, 687.87 and 443.52 is: 663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.59 : 687.87 = 443.52 : x
  2. Step 2: Convert to fraction form
    459.59/687.87 = 443.52/x
  3. Step 3: Cross multiply
    459.59x = 687.87 × 443.52
  4. Step 4: Simplify right side
    459.59x = 305,084.10
  5. Step 5: Solve for x
    x = 305,084.10/459.59
  6. Step 6: Final answer
    x = 663.83

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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.