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Finding the Fourth Proportional to 1,331.01, 1,995.85 and 775.91

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Solution

The fourth proportional to 1,331.01, 1,995.85 and 775.91 is: 1,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.01 : 1,995.85 = 775.91 : x
  2. Step 2: Convert to fraction form
    1,331.01/1,995.85 = 775.91/x
  3. Step 3: Cross multiply
    1,331.01x = 1,995.85 × 775.91
  4. Step 4: Simplify right side
    1,331.01x = 1,548,605.93
  5. Step 5: Solve for x
    x = 1,548,605.93/1,331.01
  6. Step 6: Final answer
    x = 1,163.48

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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.