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Finding the Fourth Proportional to 813.13, 1,220.30 and 505.43

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Solution

The fourth proportional to 813.13, 1,220.30 and 505.43 is: 758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.13 : 1,220.30 = 505.43 : x
  2. Step 2: Convert to fraction form
    813.13/1,220.30 = 505.43/x
  3. Step 3: Cross multiply
    813.13x = 1,220.30 × 505.43
  4. Step 4: Simplify right side
    813.13x = 616,780.54
  5. Step 5: Solve for x
    x = 616,780.54/813.13
  6. Step 6: Final answer
    x = 758.53

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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.