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Finding the Fourth Proportional to 1,398.44, 1,929.71 and 838.91

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Solution

The fourth proportional to 1,398.44, 1,929.71 and 838.91 is: 1,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.44 : 1,929.71 = 838.91 : x
  2. Step 2: Convert to fraction form
    1,398.44/1,929.71 = 838.91/x
  3. Step 3: Cross multiply
    1,398.44x = 1,929.71 × 838.91
  4. Step 4: Simplify right side
    1,398.44x = 1,618,839.17
  5. Step 5: Solve for x
    x = 1,618,839.17/1,398.44
  6. Step 6: Final answer
    x = 1,157.61

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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.