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Finding the Fourth Proportional to 862.96, 1,288.17 and 759.17

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Solution

The fourth proportional to 862.96, 1,288.17 and 759.17 is: 1,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.96 : 1,288.17 = 759.17 : x
  2. Step 2: Convert to fraction form
    862.96/1,288.17 = 759.17/x
  3. Step 3: Cross multiply
    862.96x = 1,288.17 × 759.17
  4. Step 4: Simplify right side
    862.96x = 977,936.22
  5. Step 5: Solve for x
    x = 977,936.22/862.96
  6. Step 6: Final answer
    x = 1,133.24

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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.