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Finding the Fourth Proportional to 819, 1,220.67 and 772.86

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Solution

The fourth proportional to 819, 1,220.67 and 772.86 is: 1,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    819 : 1,220.67 = 772.86 : x
  2. Step 2: Convert to fraction form
    819/1,220.67 = 772.86/x
  3. Step 3: Cross multiply
    819x = 1,220.67 × 772.86
  4. Step 4: Simplify right side
    819x = 943,407.02
  5. Step 5: Solve for x
    x = 943,407.02/819
  6. Step 6: Final answer
    x = 1,151.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.