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Finding the Fourth Proportional to 444.54, 665.72 and 431.58

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Solution

The fourth proportional to 444.54, 665.72 and 431.58 is: 646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.54 : 665.72 = 431.58 : x
  2. Step 2: Convert to fraction form
    444.54/665.72 = 431.58/x
  3. Step 3: Cross multiply
    444.54x = 665.72 × 431.58
  4. Step 4: Simplify right side
    444.54x = 287,311.44
  5. Step 5: Solve for x
    x = 287,311.44/444.54
  6. Step 6: Final answer
    x = 646.31

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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.