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Finding the Fourth Proportional to 446.57, 664.19 and 437.35

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Solution

The fourth proportional to 446.57, 664.19 and 437.35 is: 650.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.57 : 664.19 = 437.35 : x
  2. Step 2: Convert to fraction form
    446.57/664.19 = 437.35/x
  3. Step 3: Cross multiply
    446.57x = 664.19 × 437.35
  4. Step 4: Simplify right side
    446.57x = 290,477.99
  5. Step 5: Solve for x
    x = 290,477.99/446.57
  6. Step 6: Final answer
    x = 650.46

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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.