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Finding the Fourth Proportional to 1,229.25, 1,695.17 and 786.99

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Solution

The fourth proportional to 1,229.25, 1,695.17 and 786.99 is: 1,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.25 : 1,695.17 = 786.99 : x
  2. Step 2: Convert to fraction form
    1,229.25/1,695.17 = 786.99/x
  3. Step 3: Cross multiply
    1,229.25x = 1,695.17 × 786.99
  4. Step 4: Simplify right side
    1,229.25x = 1,334,077.90
  5. Step 5: Solve for x
    x = 1,334,077.90/1,229.25
  6. Step 6: Final answer
    x = 1,085.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.