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Finding the Fourth Proportional to 1,399.24, 1,930.98 and 769.84

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Solution

The fourth proportional to 1,399.24, 1,930.98 and 769.84 is: 1,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.24 : 1,930.98 = 769.84 : x
  2. Step 2: Convert to fraction form
    1,399.24/1,930.98 = 769.84/x
  3. Step 3: Cross multiply
    1,399.24x = 1,930.98 × 769.84
  4. Step 4: Simplify right side
    1,399.24x = 1,486,545.64
  5. Step 5: Solve for x
    x = 1,486,545.64/1,399.24
  6. Step 6: Final answer
    x = 1,062.40

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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.