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Finding the Fourth Proportional to 468.34, 642.44 and 440.39

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Solution

The fourth proportional to 468.34, 642.44 and 440.39 is: 604.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.34 : 642.44 = 440.39 : x
  2. Step 2: Convert to fraction form
    468.34/642.44 = 440.39/x
  3. Step 3: Cross multiply
    468.34x = 642.44 × 440.39
  4. Step 4: Simplify right side
    468.34x = 282,926.86
  5. Step 5: Solve for x
    x = 282,926.86/468.34
  6. Step 6: Final answer
    x = 604.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.