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Finding the Fourth Proportional to 446.64, 665.63 and 435.71

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Solution

The fourth proportional to 446.64, 665.63 and 435.71 is: 649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.64 : 665.63 = 435.71 : x
  2. Step 2: Convert to fraction form
    446.64/665.63 = 435.71/x
  3. Step 3: Cross multiply
    446.64x = 665.63 × 435.71
  4. Step 4: Simplify right side
    446.64x = 290,016.14
  5. Step 5: Solve for x
    x = 290,016.14/446.64
  6. Step 6: Final answer
    x = 649.33

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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.