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Finding the Fourth Proportional to 2,271.38, 3,407.22 and 790.83

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Solution

The fourth proportional to 2,271.38, 3,407.22 and 790.83 is: 1,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.38 : 3,407.22 = 790.83 : x
  2. Step 2: Convert to fraction form
    2,271.38/3,407.22 = 790.83/x
  3. Step 3: Cross multiply
    2,271.38x = 3,407.22 × 790.83
  4. Step 4: Simplify right side
    2,271.38x = 2,694,531.79
  5. Step 5: Solve for x
    x = 2,694,531.79/2,271.38
  6. Step 6: Final answer
    x = 1,186.30

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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.