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Finding the Fourth Proportional to 736.25, 1,016.68 and 549.42

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Solution

The fourth proportional to 736.25, 1,016.68 and 549.42 is: 758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.25 : 1,016.68 = 549.42 : x
  2. Step 2: Convert to fraction form
    736.25/1,016.68 = 549.42/x
  3. Step 3: Cross multiply
    736.25x = 1,016.68 × 549.42
  4. Step 4: Simplify right side
    736.25x = 558,579.24
  5. Step 5: Solve for x
    x = 558,579.24/736.25
  6. Step 6: Final answer
    x = 758.68

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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.