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Finding the Fourth Proportional to 813.17, 1,212.69 and 784.82

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Solution

The fourth proportional to 813.17, 1,212.69 and 784.82 is: 1,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.17 : 1,212.69 = 784.82 : x
  2. Step 2: Convert to fraction form
    813.17/1,212.69 = 784.82/x
  3. Step 3: Cross multiply
    813.17x = 1,212.69 × 784.82
  4. Step 4: Simplify right side
    813.17x = 951,743.37
  5. Step 5: Solve for x
    x = 951,743.37/813.17
  6. Step 6: Final answer
    x = 1,170.41

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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.