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Finding the Fourth Proportional to 1,398.87, 1,929.69 and 867.42

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Solution

The fourth proportional to 1,398.87, 1,929.69 and 867.42 is: 1,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.87 : 1,929.69 = 867.42 : x
  2. Step 2: Convert to fraction form
    1,398.87/1,929.69 = 867.42/x
  3. Step 3: Cross multiply
    1,398.87x = 1,929.69 × 867.42
  4. Step 4: Simplify right side
    1,398.87x = 1,673,851.70
  5. Step 5: Solve for x
    x = 1,673,851.70/1,398.87
  6. Step 6: Final answer
    x = 1,196.57

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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.