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Finding the Fourth Proportional to 459.20, 689.49 and 445.53

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Solution

The fourth proportional to 459.20, 689.49 and 445.53 is: 668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.20 : 689.49 = 445.53 : x
  2. Step 2: Convert to fraction form
    459.20/689.49 = 445.53/x
  3. Step 3: Cross multiply
    459.20x = 689.49 × 445.53
  4. Step 4: Simplify right side
    459.20x = 307,188.48
  5. Step 5: Solve for x
    x = 307,188.48/459.20
  6. Step 6: Final answer
    x = 668.97

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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.