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Finding the Fourth Proportional to 947.26, 1,306.92 and 554.01

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Solution

The fourth proportional to 947.26, 1,306.92 and 554.01 is: 764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.26 : 1,306.92 = 554.01 : x
  2. Step 2: Convert to fraction form
    947.26/1,306.92 = 554.01/x
  3. Step 3: Cross multiply
    947.26x = 1,306.92 × 554.01
  4. Step 4: Simplify right side
    947.26x = 724,046.75
  5. Step 5: Solve for x
    x = 724,046.75/947.26
  6. Step 6: Final answer
    x = 764.36

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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.