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Finding the Fourth Proportional to 643.29, 885.90 and 446.46

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Solution

The fourth proportional to 643.29, 885.90 and 446.46 is: 614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.29 : 885.90 = 446.46 : x
  2. Step 2: Convert to fraction form
    643.29/885.90 = 446.46/x
  3. Step 3: Cross multiply
    643.29x = 885.90 × 446.46
  4. Step 4: Simplify right side
    643.29x = 395,518.91
  5. Step 5: Solve for x
    x = 395,518.91/643.29
  6. Step 6: Final answer
    x = 614.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.