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Finding the Fourth Proportional to 1,230.41, 1,696.82 and 916.44

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Solution

The fourth proportional to 1,230.41, 1,696.82 and 916.44 is: 1,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.41 : 1,696.82 = 916.44 : x
  2. Step 2: Convert to fraction form
    1,230.41/1,696.82 = 916.44/x
  3. Step 3: Cross multiply
    1,230.41x = 1,696.82 × 916.44
  4. Step 4: Simplify right side
    1,230.41x = 1,555,033.72
  5. Step 5: Solve for x
    x = 1,555,033.72/1,230.41
  6. Step 6: Final answer
    x = 1,263.83

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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.