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Finding the Fourth Proportional to 947.22, 1,306.97 and 554.17

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Solution

The fourth proportional to 947.22, 1,306.97 and 554.17 is: 764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.22 : 1,306.97 = 554.17 : x
  2. Step 2: Convert to fraction form
    947.22/1,306.97 = 554.17/x
  3. Step 3: Cross multiply
    947.22x = 1,306.97 × 554.17
  4. Step 4: Simplify right side
    947.22x = 724,283.56
  5. Step 5: Solve for x
    x = 724,283.56/947.22
  6. Step 6: Final answer
    x = 764.64

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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.