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Finding the Fourth Proportional to 446.07, 663.44 and 436.85

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Solution

The fourth proportional to 446.07, 663.44 and 436.85 is: 649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.07 : 663.44 = 436.85 : x
  2. Step 2: Convert to fraction form
    446.07/663.44 = 436.85/x
  3. Step 3: Cross multiply
    446.07x = 663.44 × 436.85
  4. Step 4: Simplify right side
    446.07x = 289,821.54
  5. Step 5: Solve for x
    x = 289,821.54/446.07
  6. Step 6: Final answer
    x = 649.72

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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.