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Finding the Fourth Proportional to 446.33, 666.17 and 435.39

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Solution

The fourth proportional to 446.33, 666.17 and 435.39 is: 649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.33 : 666.17 = 435.39 : x
  2. Step 2: Convert to fraction form
    446.33/666.17 = 435.39/x
  3. Step 3: Cross multiply
    446.33x = 666.17 × 435.39
  4. Step 4: Simplify right side
    446.33x = 290,041.58
  5. Step 5: Solve for x
    x = 290,041.58/446.33
  6. Step 6: Final answer
    x = 649.84

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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.