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Finding the Fourth Proportional to 644.84, 889.86 and 470.92

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Solution

The fourth proportional to 644.84, 889.86 and 470.92 is: 649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.84 : 889.86 = 470.92 : x
  2. Step 2: Convert to fraction form
    644.84/889.86 = 470.92/x
  3. Step 3: Cross multiply
    644.84x = 889.86 × 470.92
  4. Step 4: Simplify right side
    644.84x = 419,052.87
  5. Step 5: Solve for x
    x = 419,052.87/644.84
  6. Step 6: Final answer
    x = 649.86

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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.