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Finding the Fourth Proportional to 862.22, 1,291.89 and 617.51

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Solution

The fourth proportional to 862.22, 1,291.89 and 617.51 is: 925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.22 : 1,291.89 = 617.51 : x
  2. Step 2: Convert to fraction form
    862.22/1,291.89 = 617.51/x
  3. Step 3: Cross multiply
    862.22x = 1,291.89 × 617.51
  4. Step 4: Simplify right side
    862.22x = 797,754.99
  5. Step 5: Solve for x
    x = 797,754.99/862.22
  6. Step 6: Final answer
    x = 925.23

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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.