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Finding the Fourth Proportional to 736.50, 1,016.37 and 426.06

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Solution

The fourth proportional to 736.50, 1,016.37 and 426.06 is: 587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.50 : 1,016.37 = 426.06 : x
  2. Step 2: Convert to fraction form
    736.50/1,016.37 = 426.06/x
  3. Step 3: Cross multiply
    736.50x = 1,016.37 × 426.06
  4. Step 4: Simplify right side
    736.50x = 433,034.60
  5. Step 5: Solve for x
    x = 433,034.60/736.50
  6. Step 6: Final answer
    x = 587.96

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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.