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Finding the Fourth Proportional to 736.56, 1,016.82 and 540.54

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Solution

The fourth proportional to 736.56, 1,016.82 and 540.54 is: 746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.56 : 1,016.82 = 540.54 : x
  2. Step 2: Convert to fraction form
    736.56/1,016.82 = 540.54/x
  3. Step 3: Cross multiply
    736.56x = 1,016.82 × 540.54
  4. Step 4: Simplify right side
    736.56x = 549,631.88
  5. Step 5: Solve for x
    x = 549,631.88/736.56
  6. Step 6: Final answer
    x = 746.21

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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.