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Finding the Fourth Proportional to 736.36, 1,016.15 and 400.25

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Solution

The fourth proportional to 736.36, 1,016.15 and 400.25 is: 552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.36 : 1,016.15 = 400.25 : x
  2. Step 2: Convert to fraction form
    736.36/1,016.15 = 400.25/x
  3. Step 3: Cross multiply
    736.36x = 1,016.15 × 400.25
  4. Step 4: Simplify right side
    736.36x = 406,706.96
  5. Step 5: Solve for x
    x = 406,706.96/736.36
  6. Step 6: Final answer
    x = 552.32

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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.