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Finding the Fourth Proportional to 936.12, 1,290.42 and 640.47

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Solution

The fourth proportional to 936.12, 1,290.42 and 640.47 is: 882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.12 : 1,290.42 = 640.47 : x
  2. Step 2: Convert to fraction form
    936.12/1,290.42 = 640.47/x
  3. Step 3: Cross multiply
    936.12x = 1,290.42 × 640.47
  4. Step 4: Simplify right side
    936.12x = 826,475.30
  5. Step 5: Solve for x
    x = 826,475.30/936.12
  6. Step 6: Final answer
    x = 882.87

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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.