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Finding the Fourth Proportional to 947.47, 1,306.43 and 667.62

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Solution

The fourth proportional to 947.47, 1,306.43 and 667.62 is: 920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.47 : 1,306.43 = 667.62 : x
  2. Step 2: Convert to fraction form
    947.47/1,306.43 = 667.62/x
  3. Step 3: Cross multiply
    947.47x = 1,306.43 × 667.62
  4. Step 4: Simplify right side
    947.47x = 872,198.80
  5. Step 5: Solve for x
    x = 872,198.80/947.47
  6. Step 6: Final answer
    x = 920.56

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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.