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Finding the Fourth Proportional to 1,219.69, 1,683.41 and 924.44

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Solution

The fourth proportional to 1,219.69, 1,683.41 and 924.44 is: 1,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.69 : 1,683.41 = 924.44 : x
  2. Step 2: Convert to fraction form
    1,219.69/1,683.41 = 924.44/x
  3. Step 3: Cross multiply
    1,219.69x = 1,683.41 × 924.44
  4. Step 4: Simplify right side
    1,219.69x = 1,556,211.54
  5. Step 5: Solve for x
    x = 1,556,211.54/1,219.69
  6. Step 6: Final answer
    x = 1,275.91

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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.