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Finding the Fourth Proportional to 817.77, 1,225.20 and 681.69

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Solution

The fourth proportional to 817.77, 1,225.20 and 681.69 is: 1,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.77 : 1,225.20 = 681.69 : x
  2. Step 2: Convert to fraction form
    817.77/1,225.20 = 681.69/x
  3. Step 3: Cross multiply
    817.77x = 1,225.20 × 681.69
  4. Step 4: Simplify right side
    817.77x = 835,206.59
  5. Step 5: Solve for x
    x = 835,206.59/817.77
  6. Step 6: Final answer
    x = 1,021.32

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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.