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Finding the Fourth Proportional to 817, 1,219.13 and 785.41

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Solution

The fourth proportional to 817, 1,219.13 and 785.41 is: 1,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    817 : 1,219.13 = 785.41 : x
  2. Step 2: Convert to fraction form
    817/1,219.13 = 785.41/x
  3. Step 3: Cross multiply
    817x = 1,219.13 × 785.41
  4. Step 4: Simplify right side
    817x = 957,516.89
  5. Step 5: Solve for x
    x = 957,516.89/817
  6. Step 6: Final answer
    x = 1,171.99

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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.