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Finding the Fourth Proportional to 813.58, 1,221.45 and 745.66

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Solution

The fourth proportional to 813.58, 1,221.45 and 745.66 is: 1,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.58 : 1,221.45 = 745.66 : x
  2. Step 2: Convert to fraction form
    813.58/1,221.45 = 745.66/x
  3. Step 3: Cross multiply
    813.58x = 1,221.45 × 745.66
  4. Step 4: Simplify right side
    813.58x = 910,786.41
  5. Step 5: Solve for x
    x = 910,786.41/813.58
  6. Step 6: Final answer
    x = 1,119.48

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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.