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Finding the Fourth Proportional to 643.24, 887.70 and 446.92

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Solution

The fourth proportional to 643.24, 887.70 and 446.92 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.24 : 887.70 = 446.92 : x
  2. Step 2: Convert to fraction form
    643.24/887.70 = 446.92/x
  3. Step 3: Cross multiply
    643.24x = 887.70 × 446.92
  4. Step 4: Simplify right side
    643.24x = 396,730.88
  5. Step 5: Solve for x
    x = 396,730.88/643.24
  6. Step 6: Final answer
    x = 616.77

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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.