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Finding the Fourth Proportional to 814.96, 1,124.13 and 553.42

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Solution

The fourth proportional to 814.96, 1,124.13 and 553.42 is: 763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.96 : 1,124.13 = 553.42 : x
  2. Step 2: Convert to fraction form
    814.96/1,124.13 = 553.42/x
  3. Step 3: Cross multiply
    814.96x = 1,124.13 × 553.42
  4. Step 4: Simplify right side
    814.96x = 622,116.02
  5. Step 5: Solve for x
    x = 622,116.02/814.96
  6. Step 6: Final answer
    x = 763.37

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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.