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Finding the Fourth Proportional to 648.51, 890.09 and 576.96

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Solution

The fourth proportional to 648.51, 890.09 and 576.96 is: 791.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.51 : 890.09 = 576.96 : x
  2. Step 2: Convert to fraction form
    648.51/890.09 = 576.96/x
  3. Step 3: Cross multiply
    648.51x = 890.09 × 576.96
  4. Step 4: Simplify right side
    648.51x = 513,543.44
  5. Step 5: Solve for x
    x = 513,543.44/648.51
  6. Step 6: Final answer
    x = 791.88

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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.