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Finding the Fourth Proportional to 816, 1,217.64 and 784.41

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Solution

The fourth proportional to 816, 1,217.64 and 784.41 is: 1,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    816 : 1,217.64 = 784.41 : x
  2. Step 2: Convert to fraction form
    816/1,217.64 = 784.41/x
  3. Step 3: Cross multiply
    816x = 1,217.64 × 784.41
  4. Step 4: Simplify right side
    816x = 955,128.99
  5. Step 5: Solve for x
    x = 955,128.99/816
  6. Step 6: Final answer
    x = 1,170.50

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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.