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Finding the Fourth Proportional to 468.44, 646.09 and 440.09

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Solution

The fourth proportional to 468.44, 646.09 and 440.09 is: 606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.44 : 646.09 = 440.09 : x
  2. Step 2: Convert to fraction form
    468.44/646.09 = 440.09/x
  3. Step 3: Cross multiply
    468.44x = 646.09 × 440.09
  4. Step 4: Simplify right side
    468.44x = 284,337.75
  5. Step 5: Solve for x
    x = 284,337.75/468.44
  6. Step 6: Final answer
    x = 606.99

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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.