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Finding the Fourth Proportional to 815.09, 1,222.38 and 542.63

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Solution

The fourth proportional to 815.09, 1,222.38 and 542.63 is: 813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.09 : 1,222.38 = 542.63 : x
  2. Step 2: Convert to fraction form
    815.09/1,222.38 = 542.63/x
  3. Step 3: Cross multiply
    815.09x = 1,222.38 × 542.63
  4. Step 4: Simplify right side
    815.09x = 663,303.12
  5. Step 5: Solve for x
    x = 663,303.12/815.09
  6. Step 6: Final answer
    x = 813.78

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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.