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Finding the Fourth Proportional to 736.39, 1,016.25 and 421.71

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Solution

The fourth proportional to 736.39, 1,016.25 and 421.71 is: 581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.39 : 1,016.25 = 421.71 : x
  2. Step 2: Convert to fraction form
    736.39/1,016.25 = 421.71/x
  3. Step 3: Cross multiply
    736.39x = 1,016.25 × 421.71
  4. Step 4: Simplify right side
    736.39x = 428,562.79
  5. Step 5: Solve for x
    x = 428,562.79/736.39
  6. Step 6: Final answer
    x = 581.98

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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.