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Finding the Fourth Proportional to 644.73, 968.46 and 463.29

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Solution

The fourth proportional to 644.73, 968.46 and 463.29 is: 695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.73 : 968.46 = 463.29 : x
  2. Step 2: Convert to fraction form
    644.73/968.46 = 463.29/x
  3. Step 3: Cross multiply
    644.73x = 968.46 × 463.29
  4. Step 4: Simplify right side
    644.73x = 448,677.83
  5. Step 5: Solve for x
    x = 448,677.83/644.73
  6. Step 6: Final answer
    x = 695.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.