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Finding the Fourth Proportional to 813.54, 1,219.26 and 374.82

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Solution

The fourth proportional to 813.54, 1,219.26 and 374.82 is: 561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.54 : 1,219.26 = 374.82 : x
  2. Step 2: Convert to fraction form
    813.54/1,219.26 = 374.82/x
  3. Step 3: Cross multiply
    813.54x = 1,219.26 × 374.82
  4. Step 4: Simplify right side
    813.54x = 457,003.03
  5. Step 5: Solve for x
    x = 457,003.03/813.54
  6. Step 6: Final answer
    x = 561.75

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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.