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Finding the Fourth Proportional to 817.94, 1,221.69 and 708.59

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Solution

The fourth proportional to 817.94, 1,221.69 and 708.59 is: 1,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.94 : 1,221.69 = 708.59 : x
  2. Step 2: Convert to fraction form
    817.94/1,221.69 = 708.59/x
  3. Step 3: Cross multiply
    817.94x = 1,221.69 × 708.59
  4. Step 4: Simplify right side
    817.94x = 865,676.03
  5. Step 5: Solve for x
    x = 865,676.03/817.94
  6. Step 6: Final answer
    x = 1,058.36

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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.