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Finding the Fourth Proportional to 838.09, 1,254.21 and 663.22

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Solution

The fourth proportional to 838.09, 1,254.21 and 663.22 is: 992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.09 : 1,254.21 = 663.22 : x
  2. Step 2: Convert to fraction form
    838.09/1,254.21 = 663.22/x
  3. Step 3: Cross multiply
    838.09x = 1,254.21 × 663.22
  4. Step 4: Simplify right side
    838.09x = 831,817.16
  5. Step 5: Solve for x
    x = 831,817.16/838.09
  6. Step 6: Final answer
    x = 992.52

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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.