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Finding the Fourth Proportional to 442.59, 609.87 and 440.88

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Solution

The fourth proportional to 442.59, 609.87 and 440.88 is: 607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.59 : 609.87 = 440.88 : x
  2. Step 2: Convert to fraction form
    442.59/609.87 = 440.88/x
  3. Step 3: Cross multiply
    442.59x = 609.87 × 440.88
  4. Step 4: Simplify right side
    442.59x = 268,879.49
  5. Step 5: Solve for x
    x = 268,879.49/442.59
  6. Step 6: Final answer
    x = 607.51

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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.