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Finding the Fourth Proportional to 643.65, 889.34 and 573.09

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Solution

The fourth proportional to 643.65, 889.34 and 573.09 is: 791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.65 : 889.34 = 573.09 : x
  2. Step 2: Convert to fraction form
    643.65/889.34 = 573.09/x
  3. Step 3: Cross multiply
    643.65x = 889.34 × 573.09
  4. Step 4: Simplify right side
    643.65x = 509,671.86
  5. Step 5: Solve for x
    x = 509,671.86/643.65
  6. Step 6: Final answer
    x = 791.85

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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.