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Finding the Fourth Proportional to 1,031.55, 1,541.37 and 779.73

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Solution

The fourth proportional to 1,031.55, 1,541.37 and 779.73 is: 1,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.55 : 1,541.37 = 779.73 : x
  2. Step 2: Convert to fraction form
    1,031.55/1,541.37 = 779.73/x
  3. Step 3: Cross multiply
    1,031.55x = 1,541.37 × 779.73
  4. Step 4: Simplify right side
    1,031.55x = 1,201,847.60
  5. Step 5: Solve for x
    x = 1,201,847.60/1,031.55
  6. Step 6: Final answer
    x = 1,165.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.