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Finding the Fourth Proportional to 648.35, 889.93 and 576.84

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Solution

The fourth proportional to 648.35, 889.93 and 576.84 is: 791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.35 : 889.93 = 576.84 : x
  2. Step 2: Convert to fraction form
    648.35/889.93 = 576.84/x
  3. Step 3: Cross multiply
    648.35x = 889.93 × 576.84
  4. Step 4: Simplify right side
    648.35x = 513,345.78
  5. Step 5: Solve for x
    x = 513,345.78/648.35
  6. Step 6: Final answer
    x = 791.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.