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Finding the Fourth Proportional to 446.56, 665.45 and 431.88

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Solution

The fourth proportional to 446.56, 665.45 and 431.88 is: 643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.56 : 665.45 = 431.88 : x
  2. Step 2: Convert to fraction form
    446.56/665.45 = 431.88/x
  3. Step 3: Cross multiply
    446.56x = 665.45 × 431.88
  4. Step 4: Simplify right side
    446.56x = 287,391.22
  5. Step 5: Solve for x
    x = 287,391.22/446.56
  6. Step 6: Final answer
    x = 643.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.