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Finding the Fourth Proportional to 1,398.79, 1,930.11 and 839.13

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Solution

The fourth proportional to 1,398.79, 1,930.11 and 839.13 is: 1,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.79 : 1,930.11 = 839.13 : x
  2. Step 2: Convert to fraction form
    1,398.79/1,930.11 = 839.13/x
  3. Step 3: Cross multiply
    1,398.79x = 1,930.11 × 839.13
  4. Step 4: Simplify right side
    1,398.79x = 1,619,607.54
  5. Step 5: Solve for x
    x = 1,619,607.54/1,398.79
  6. Step 6: Final answer
    x = 1,157.87

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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.