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Finding the Fourth Proportional to 813.43, 1,219.24 and 319.47

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Solution

The fourth proportional to 813.43, 1,219.24 and 319.47 is: 478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.43 : 1,219.24 = 319.47 : x
  2. Step 2: Convert to fraction form
    813.43/1,219.24 = 319.47/x
  3. Step 3: Cross multiply
    813.43x = 1,219.24 × 319.47
  4. Step 4: Simplify right side
    813.43x = 389,510.60
  5. Step 5: Solve for x
    x = 389,510.60/813.43
  6. Step 6: Final answer
    x = 478.85

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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.