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Finding the Fourth Proportional to 846.49, 1,267.96 and 538.19

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Solution

The fourth proportional to 846.49, 1,267.96 and 538.19 is: 806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.49 : 1,267.96 = 538.19 : x
  2. Step 2: Convert to fraction form
    846.49/1,267.96 = 538.19/x
  3. Step 3: Cross multiply
    846.49x = 1,267.96 × 538.19
  4. Step 4: Simplify right side
    846.49x = 682,403.39
  5. Step 5: Solve for x
    x = 682,403.39/846.49
  6. Step 6: Final answer
    x = 806.16

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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.