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Finding the Fourth Proportional to 446.84, 667.20 and 400.26

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Solution

The fourth proportional to 446.84, 667.20 and 400.26 is: 597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.84 : 667.20 = 400.26 : x
  2. Step 2: Convert to fraction form
    446.84/667.20 = 400.26/x
  3. Step 3: Cross multiply
    446.84x = 667.20 × 400.26
  4. Step 4: Simplify right side
    446.84x = 267,051.97
  5. Step 5: Solve for x
    x = 267,051.97/446.84
  6. Step 6: Final answer
    x = 597.65

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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.