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Finding the Fourth Proportional to 1,251.80, 1,727.54 and 779.98

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Solution

The fourth proportional to 1,251.80, 1,727.54 and 779.98 is: 1,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.80 : 1,727.54 = 779.98 : x
  2. Step 2: Convert to fraction form
    1,251.80/1,727.54 = 779.98/x
  3. Step 3: Cross multiply
    1,251.80x = 1,727.54 × 779.98
  4. Step 4: Simplify right side
    1,251.80x = 1,347,444.28
  5. Step 5: Solve for x
    x = 1,347,444.28/1,251.80
  6. Step 6: Final answer
    x = 1,076.40

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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.