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Finding the Fourth Proportional to 821.99, 1,226.45 and 763.93

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Solution

The fourth proportional to 821.99, 1,226.45 and 763.93 is: 1,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.99 : 1,226.45 = 763.93 : x
  2. Step 2: Convert to fraction form
    821.99/1,226.45 = 763.93/x
  3. Step 3: Cross multiply
    821.99x = 1,226.45 × 763.93
  4. Step 4: Simplify right side
    821.99x = 936,921.95
  5. Step 5: Solve for x
    x = 936,921.95/821.99
  6. Step 6: Final answer
    x = 1,139.82

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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.