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Finding the Fourth Proportional to 813.34, 1,226.39 and 745.30

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Solution

The fourth proportional to 813.34, 1,226.39 and 745.30 is: 1,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.34 : 1,226.39 = 745.30 : x
  2. Step 2: Convert to fraction form
    813.34/1,226.39 = 745.30/x
  3. Step 3: Cross multiply
    813.34x = 1,226.39 × 745.30
  4. Step 4: Simplify right side
    813.34x = 914,018.61
  5. Step 5: Solve for x
    x = 914,018.61/813.34
  6. Step 6: Final answer
    x = 1,123.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.