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Finding the Fourth Proportional to 736.14, 1,016.37 and 512.55

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Solution

The fourth proportional to 736.14, 1,016.37 and 512.55 is: 707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.14 : 1,016.37 = 512.55 : x
  2. Step 2: Convert to fraction form
    736.14/1,016.37 = 512.55/x
  3. Step 3: Cross multiply
    736.14x = 1,016.37 × 512.55
  4. Step 4: Simplify right side
    736.14x = 520,940.44
  5. Step 5: Solve for x
    x = 520,940.44/736.14
  6. Step 6: Final answer
    x = 707.66

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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.