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Finding the Fourth Proportional to 446.45, 665.90 and 432.78

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Solution

The fourth proportional to 446.45, 665.90 and 432.78 is: 645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.45 : 665.90 = 432.78 : x
  2. Step 2: Convert to fraction form
    446.45/665.90 = 432.78/x
  3. Step 3: Cross multiply
    446.45x = 665.90 × 432.78
  4. Step 4: Simplify right side
    446.45x = 288,187.60
  5. Step 5: Solve for x
    x = 288,187.60/446.45
  6. Step 6: Final answer
    x = 645.52

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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.