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Finding the Fourth Proportional to 1,236.69, 1,706.76 and 817.87

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Solution

The fourth proportional to 1,236.69, 1,706.76 and 817.87 is: 1,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.69 : 1,706.76 = 817.87 : x
  2. Step 2: Convert to fraction form
    1,236.69/1,706.76 = 817.87/x
  3. Step 3: Cross multiply
    1,236.69x = 1,706.76 × 817.87
  4. Step 4: Simplify right side
    1,236.69x = 1,395,895.18
  5. Step 5: Solve for x
    x = 1,395,895.18/1,236.69
  6. Step 6: Final answer
    x = 1,128.74

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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.