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Finding the Fourth Proportional to 1,388.73, 1,916.45 and 767.73

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Solution

The fourth proportional to 1,388.73, 1,916.45 and 767.73 is: 1,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.73 : 1,916.45 = 767.73 : x
  2. Step 2: Convert to fraction form
    1,388.73/1,916.45 = 767.73/x
  3. Step 3: Cross multiply
    1,388.73x = 1,916.45 × 767.73
  4. Step 4: Simplify right side
    1,388.73x = 1,471,316.16
  5. Step 5: Solve for x
    x = 1,471,316.16/1,388.73
  6. Step 6: Final answer
    x = 1,059.47

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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.