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Finding the Fourth Proportional to 813.89, 1,222.03 and 537.07

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Solution

The fourth proportional to 813.89, 1,222.03 and 537.07 is: 806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.89 : 1,222.03 = 537.07 : x
  2. Step 2: Convert to fraction form
    813.89/1,222.03 = 537.07/x
  3. Step 3: Cross multiply
    813.89x = 1,222.03 × 537.07
  4. Step 4: Simplify right side
    813.89x = 656,312.97
  5. Step 5: Solve for x
    x = 656,312.97/813.89
  6. Step 6: Final answer
    x = 806.39

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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.