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Finding the Fourth Proportional to 1,254.52, 1,729.67 and 805.60

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Solution

The fourth proportional to 1,254.52, 1,729.67 and 805.60 is: 1,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.52 : 1,729.67 = 805.60 : x
  2. Step 2: Convert to fraction form
    1,254.52/1,729.67 = 805.60/x
  3. Step 3: Cross multiply
    1,254.52x = 1,729.67 × 805.60
  4. Step 4: Simplify right side
    1,254.52x = 1,393,415.42
  5. Step 5: Solve for x
    x = 1,393,415.42/1,254.52
  6. Step 6: Final answer
    x = 1,110.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.