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Finding the Fourth Proportional to 644.69, 970.81 and 463.34

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Solution

The fourth proportional to 644.69, 970.81 and 463.34 is: 697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.69 : 970.81 = 463.34 : x
  2. Step 2: Convert to fraction form
    644.69/970.81 = 463.34/x
  3. Step 3: Cross multiply
    644.69x = 970.81 × 463.34
  4. Step 4: Simplify right side
    644.69x = 449,816.37
  5. Step 5: Solve for x
    x = 449,816.37/644.69
  6. Step 6: Final answer
    x = 697.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.