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Finding the Fourth Proportional to 668.63, 1,004.31 and 545.44

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Solution

The fourth proportional to 668.63, 1,004.31 and 545.44 is: 819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.63 : 1,004.31 = 545.44 : x
  2. Step 2: Convert to fraction form
    668.63/1,004.31 = 545.44/x
  3. Step 3: Cross multiply
    668.63x = 1,004.31 × 545.44
  4. Step 4: Simplify right side
    668.63x = 547,791.69
  5. Step 5: Solve for x
    x = 547,791.69/668.63
  6. Step 6: Final answer
    x = 819.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.