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Finding the Fourth Proportional to 736.50, 1,016.56 and 421.86

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Solution

The fourth proportional to 736.50, 1,016.56 and 421.86 is: 582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.50 : 1,016.56 = 421.86 : x
  2. Step 2: Convert to fraction form
    736.50/1,016.56 = 421.86/x
  3. Step 3: Cross multiply
    736.50x = 1,016.56 × 421.86
  4. Step 4: Simplify right side
    736.50x = 428,844.95
  5. Step 5: Solve for x
    x = 428,844.95/736.50
  6. Step 6: Final answer
    x = 582.27

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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.