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Finding the Fourth Proportional to 2,459.38, 3,689.79 and 728.05

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Solution

The fourth proportional to 2,459.38, 3,689.79 and 728.05 is: 1,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.38 : 3,689.79 = 728.05 : x
  2. Step 2: Convert to fraction form
    2,459.38/3,689.79 = 728.05/x
  3. Step 3: Cross multiply
    2,459.38x = 3,689.79 × 728.05
  4. Step 4: Simplify right side
    2,459.38x = 2,686,329.52
  5. Step 5: Solve for x
    x = 2,686,329.52/2,459.38
  6. Step 6: Final answer
    x = 1,092.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.