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Finding the Fourth Proportional to 1,355.55, 2,031.37 and 798.95

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Solution

The fourth proportional to 1,355.55, 2,031.37 and 798.95 is: 1,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.55 : 2,031.37 = 798.95 : x
  2. Step 2: Convert to fraction form
    1,355.55/2,031.37 = 798.95/x
  3. Step 3: Cross multiply
    1,355.55x = 2,031.37 × 798.95
  4. Step 4: Simplify right side
    1,355.55x = 1,622,963.06
  5. Step 5: Solve for x
    x = 1,622,963.06/1,355.55
  6. Step 6: Final answer
    x = 1,197.27

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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.