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Finding the Fourth Proportional to 846.98, 1,272.60 and 538.97

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Solution

The fourth proportional to 846.98, 1,272.60 and 538.97 is: 809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.98 : 1,272.60 = 538.97 : x
  2. Step 2: Convert to fraction form
    846.98/1,272.60 = 538.97/x
  3. Step 3: Cross multiply
    846.98x = 1,272.60 × 538.97
  4. Step 4: Simplify right side
    846.98x = 685,893.22
  5. Step 5: Solve for x
    x = 685,893.22/846.98
  6. Step 6: Final answer
    x = 809.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.