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Finding the Fourth Proportional to 1,655.17, 2,478.97 and 790.09

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Solution

The fourth proportional to 1,655.17, 2,478.97 and 790.09 is: 1,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.17 : 2,478.97 = 790.09 : x
  2. Step 2: Convert to fraction form
    1,655.17/2,478.97 = 790.09/x
  3. Step 3: Cross multiply
    1,655.17x = 2,478.97 × 790.09
  4. Step 4: Simplify right side
    1,655.17x = 1,958,604.20
  5. Step 5: Solve for x
    x = 1,958,604.20/1,655.17
  6. Step 6: Final answer
    x = 1,183.33

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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.