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Finding the Fourth Proportional to 1,079.52, 1,617.67 and 617.43

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Solution

The fourth proportional to 1,079.52, 1,617.67 and 617.43 is: 925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.52 : 1,617.67 = 617.43 : x
  2. Step 2: Convert to fraction form
    1,079.52/1,617.67 = 617.43/x
  3. Step 3: Cross multiply
    1,079.52x = 1,617.67 × 617.43
  4. Step 4: Simplify right side
    1,079.52x = 998,797.99
  5. Step 5: Solve for x
    x = 998,797.99/1,079.52
  6. Step 6: Final answer
    x = 925.22

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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.