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Finding the Fourth Proportional to 729.50, 1,005.86 and 554.54

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Solution

The fourth proportional to 729.50, 1,005.86 and 554.54 is: 764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.50 : 1,005.86 = 554.54 : x
  2. Step 2: Convert to fraction form
    729.50/1,005.86 = 554.54/x
  3. Step 3: Cross multiply
    729.50x = 1,005.86 × 554.54
  4. Step 4: Simplify right side
    729.50x = 557,789.60
  5. Step 5: Solve for x
    x = 557,789.60/729.50
  6. Step 6: Final answer
    x = 764.62

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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.